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Functions of complex variables

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• Elliptic functions
• Functions of real variables

• Functions of complex variables -- Congresses
• Functions of complex variables -- Textbooks
• Analytic functions
• Banach spaces
• Boundary value problems
• Closure of functions
• Functions of several complex variables
• Functions, Abelian
• Functions, Entire
• Geometric function theory
• Global analysis (Mathematics)
• Hardy spaces
• Kernel functions
• Laurent series
• Quasiconformal mappings
• Series, Lie
• Star-like functions
• Univalent functions

• Complex variables
• Complex analysis

• A First Course in Complex Analysis (electronic edition, c2017), by Matthias Beck, Gerald Marchesi, Dennis Pixton, and Lucas Sabalka (PDF with commentary at sfsu.edu)
• Complex Variables (revised edition, c2004), by Robert B. Ash and W. Phil Novinger (PDF files at Wayback Machine)
• Convex Geometric Analysis (1999), ed. by Keith M. Ball and Vitali D. Milman (PDF files with commentary at msri.org)
• Current Topics in Complex Algebraic Geometry (1995), ed. by C. Herbert Clemens and János Kollár (PDF files with commentary at msri.org)
• Analytic Functions of a Complex Variable (Carus Mathematical Monograph #2; Chicago: Pub. for the Mathematical Association of America by the Open Court Pub. Co., c1926), by David Raymond Curtiss (page images at HathiTrust)
• Lectures Introductory to the Theory of Functions of Two Complex Variables, by Andrew Russell Forsyth (page images at Cornell)
• Fourier Transforms in the Complex Domain (American Mathematical Society Colloquium Publications v19, 1934), by Raymond E. A. C. Paley and Norbert Wiener (multiple formats at archive.org)
• Alignment Charts; The Teaching of the Calculus of Probability; On the Theory of Complex Functions (Notre Dame Mathematical Lectures #4; 1944), contrib. by Lester R. Ford, A. H. Copeland, and Emil Artin (PDF files at Project Euclid)
• An improved tabulation of the plasma dispersion function and its first derivative (Aerospace Research Laboratories, U.S. Air Force, 1972), by Henry E. Fettis, Kenneth R. Cramer, James C. Caslin, and Aerospace Research Laboratories (U.S.) (page images at HathiTrust)
• [Pamphlets. Mathematics.] ([Publisher varies], in the 1890s), by Ernst Lindelöf (page images at HathiTrust)
• Functions of a complex variable (Dover Publications, 1959), by James Pierpont (page images at HathiTrust)
• Leçons sur les fonctions inverses des transcendantes et les surfaces isothermes (M. Bachelier, 1857), by G. Lamé (page images at HathiTrust)
• Teorica delle funzioni di variabili complesse ... Vol. i. (Fratelli Fusi, 1868), by Felice Casorati (page images at HathiTrust)
• Elements of the theory of functions of a complex variable with especial reference to the methods of Riemann (G. E. Fisher and I. J. Schwatt, 1896), by H. Durège, Isaac J. Schwatt, and George Egbert Fisher (page images at HathiTrust)
• The linear functions of a complex variable ([University of Virginia], 1890), by F. N. Cole (page images at HathiTrust)
• Elemente der Theorie der Funktionen einer komplexen veränderlichen grösse. (B. G. Teubner, 1906), by H. Durège and Ludwig Maurer (page images at HathiTrust)
• Functions of complex variables. (Prentice-Hall, 1958), by Philip Franklin (page images at HathiTrust)
• The theory of functions of a complex variable. [Lectures] New York University, Institute for Mathematics and Mechanics (New York University, 1952), by Richard Courant (page images at HathiTrust)
• Non-essential singularities of functions of several complex variables. ([Place of publication not identified], 1916), by Dunham Jackson (page images at HathiTrust)
• Méthodes et problèmes de théorie des fonctions (Gauthier-Villars et Cie, 1922), by Emile Borel (page images at HathiTrust)
• Introduction to the theory of functions of a complex variable (Wiley, 1953), by Wolfgang J Thron (page images at HathiTrust)
• Die komplexen Veränderlichen und ihre Funktionen : Fortsetzung der Grundzüge der Differential- und Integralrechnung, zugleich eine Einführung in die Funktionentheorie (B. G. Teubner, 1911), by Gerhard Waldemar Hermann Kowalewski (page images at HathiTrust)
• The theory and use of the complex variable; an introduction (Pitman publishing corporation, 1939), by S. L. Green (page images at HathiTrust)
• Functions of a complex variable (Ginn and Company, 1914), by James Pierpont (page images at HathiTrust)
• Beiträge zur Funktionentheorie in nichtarchimedisch bewerteten Körpern (Helios, 1930), by Waldemar Schöbe (page images at HathiTrust)
• Elementare Theorie der analytischen Functionen einer complexen Veränderlichen ... (L. Nebert, 1898), by J. Thomae (page images at HathiTrust)
• Elementare theorie der analytischen functionen einer complexen veränderlichen. (L. Nebert, 1880), by J. Thomae (page images at HathiTrust)
• Introduction to complex analysis. (Allyn and Bacon, 1961), by Zeev Nehari (page images at HathiTrust)
• Théorie des fonctions de variables imaginaires (Gauthier-Villars, 1874), by Maximilien Marie (page images at HathiTrust)
• Functions of a complex variable (Macmillan and co., limited, 1925), by Thomas Murray MacRobert (page images at HathiTrust)
• Lezioni sulla teoria delle funzioni di variabile complessa e delle funzioni ellittiche (E. Spoerri, 1899), by Luigi Bianchi (page images at HathiTrust)
• Abriss einer Theorie der Functionen einer complexen Veränderlichen und der Thetafunctionen. (L. Nebert, 1890), by J. Thomae (page images at HathiTrust)
• Lectures introductory to the theory of functions of two complex variables; delivered to the University of Calcutta during January and February 1913 (University Press, 1914), by Andrew Russell Forsyth (page images at HathiTrust)
• Paths in complex analysis (Dept. of Pure Mathematics, School of General Studies; Dept. of Mathematics, Institute of Advanced Studies, Australian National University, 1969), by R. E. Edwards (page images at HathiTrust)
• Theory of pseudo-analytic functions [a course given at the] New York University, Institute for Mathematics and Mechanics [during the spring term 1951] (New York, 1953), by Lipman Bers and New York University. Institute for Mathematics and Mechanics (page images at HathiTrust)
• Asymptotic values of holomorphic functions. (William Marsh Rice University, 1963), by Gerald R. MacLane (page images at HathiTrust)
• Functions of real variables. Functions of a complex variable. (Chelsea Pub. Co., 1958), by William F. Osgood (page images at HathiTrust)
• On two-dimensional fluid motion through a spout composed of four plane walls (Argonne National Laboratory, 1960), by Gordon C K. Yeh and Inc Ramo-Wooldridge Research Laboratory. Thompson Ramo Wooldridge (page images at HathiTrust)
• Functions of a complex variable (G. E. Stechert, 1942), by William F. Osgood (page images at HathiTrust)
• Functions of a complex variable (Holt, 1942), by Edgar Jerome Townsend (page images at HathiTrust)
• Abriss einer Theorie der complexen Functionen und der Thetafunctionen einer Veränderlichen (Louis Nebert, 1873), by J. Thomae (page images at HathiTrust)
• Elemente der Theorie der Funktionen einer complexen ver ̈anderlichen Grösse : mit besonderer berücksichtigung der Schöpfungen Riemann's (B.G. Teubner, 1882), by H. Durège (page images at HathiTrust)
• Theorie der analytischen Funktionen einer komplexen Veränderlichen. (Veit, 1897), by Heinrich Burkhardt (page images at HathiTrust)
• Konforme Abbildung der Oberfläche eines rektangulären Hexaeders auf die Kugeloberfläche (Thomas & Hubert, 1928), by Walter Gresky (page images at HathiTrust)
• Über zwei den Eulerschen Funktionen ?(p) und ?(p,q) ähnliche Doppelintegrale (Weida i Thür. : Thomas & Hubert, 1914), by Hans Eckert (page images at HathiTrust)
• Über die Diskontinuitätsbereiche der Gruppen aus linearen nicht infinitesimalen Substitutionen (W. Fr. Kaestner, 1909), by Albert Wink (page images at HathiTrust)
• Elementare Beiträge zur neureren Funktionentheorie (W. Fr. Kaestner, 1911), by Friedrich Wilhelm Wiener (page images at HathiTrust)
• Über graphische Integration von Funktionen einer komplexen Variabeln mit speziellen Anwendungen (W. Fr. Kaestner, 1912), by S. Douglas Killam (page images at HathiTrust)
• Polynomische Entwicklungen von Funktionen einer komplexen Variabeln (Emil Birkhäuser, 1911), by Konrad Rieder (page images at HathiTrust)
• Sur quelques points de la théorie des fonctions. (1894), by Emile Borel (page images at HathiTrust)
• Introducción al estudio delas funciones de variable compleja (Higos de Murillo, 1907), by Luis Octavio de Toledo (page images at HathiTrust)
• Funktionentheoretische Vorlesungen. (Veit & Comp., 1897), by Heinrich Burkhardt (page images at HathiTrust)
• Mémoire sur le système de valeurs : qu'il faut attribuer à divers élémens déterminés par un grand nombre d'observations, pour que la plus grande de toutes les erreurs, abstractions faite du signe devienne un minimum ([s.n.], 1830), by Augustin Louis Cauchy (page images at HathiTrust)
• Cours d'analyse mathématique. (Gauthier-Villars, 1917), by Édouard Goursat (page images at HathiTrust)
• Elements of the theory of functions of a complex variable : with especial reference to the methods of Riemann (Macmillan, 1902), by H. Durège, Isaac J. Schwatt, and George Egbert Fisher (page images at HathiTrust)
• I. Aggregates of zero measure. II. Monogenic uniform non-analytic functions ... (De Vinne Press, 1917), by Emile Borel, Percy John Daniell, and Griffith Conrad Evans (page images at HathiTrust)
• Grafisk räkning med komplexa tal ... (Norstedt, 1918), by Oscar Edvard Westin (page images at HathiTrust)
• Elementar entwickelte Theorie und Praxis der Functionen einer complexen Variabelen in organischer Verbindung mit der Geometrie. (C. Daberkow, 1898), by Adalbert Breuer (page images at HathiTrust)
• Elemente der Theorie der Funktionen einer complexen veränderlichen Grösse, mit besonderer Berücksichtigung der Schöpfungen Riemann's. (B. G. Teubner, 1893), by H. Durège (page images at HathiTrust)
• Abriss einer theorie der algebraischen funktionen einer veränderlichen in neuer fassung ... (B. G. Teubner, 1911), by Hermann Stahl (page images at HathiTrust)
• Leçons sur les séries de polynomes à une variable complexe (Gauthier-Villars, 1910), by Paul Montel (page images at HathiTrust)
• Elemente der Theorie der Funktionen einer komplexen veränderlichen grösse. (Cornell University Library, 1906), by H. Durège and Ludwig Maurer (page images at HathiTrust)
• Elementare theorie der analytischen functionen einer complexen veränderlichen. (L. Nebert, 1898), by Carl Johannes Thomae (page images at HathiTrust)
• Theory of functions of a complex variable (D. C. Heath & Co., 1913), by Heinrich Friedrich Karl Ludwig Burkhardt and Samuel Eugene Rasor (page images at HathiTrust)
• Leçons sur les fonctions monogènes uniformes d'une variable complexe (Gauthier-Villars, 1917), by Emile Borel and Gaston Julia (page images at HathiTrust)
• Analysis of the mixing region for a 2-D jet injected at an angle to a moving stream (National Aeronautics and Space Administration ; [For sale by the Clearinghouse for Federal Scientific and Technical Information, Springfield, Virginia 22151], 1969), by Willis Braun, Marvin E. Goldstein, Lewis Research Center, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• NASA TN D-5460 (National Aeronautics and Space Administration ;, 1969), by Marvin E. Goldstein, Willis Braun, Lewis Research Center, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• NASA TN D-5501 (National Aeronautics and Space Administration ; [For sale by the Clearinghouse for Federal Scientific and Technical Information, Springfield, Virginia 22151], 1969), by Marvin E. Goldstein, Willis Braun, Lewis Research Center, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• NASA TN D-6729 (National Aeronautics and Space Administration :, 1972), by Michael R. Galvas, Lewis Research Center, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• Elemente der Theorie der Functionen einer complexen veränderlichen Grösse. Mit besonderer Berücksichtigung der Schöpfungen Riemann's. (B.G. Teubner, 1873), by H. Durège (page images at HathiTrust)
• Theory of functions of a complex variable (University press, 1900), by Andrew Russell Forsyth (page images at HathiTrust)
• Applications of functions of the complex variable to certain isothermic systems (1905), by Nelle Wheeler Reese (page images at HathiTrust)
• Graphic evaluation of trigonometric functions of complex variables (1909), by Truman Lee Kelley (page images at HathiTrust)
• Cours de m. Hermite, professé pendant le 2e semestre, 1881-82 (A. Hermann, 1883), by Charles Hermite and H. Andoyer (page images at HathiTrust)
• Elemente der Theorie der Functionen einer complexen veränderlichen Grösse. Mit besonderer Berücksichtigung der Schöpfungen Riemann's. (Teubner, 1873), by H. Durège (page images at HathiTrust)
• Teorīi︠a︡ funkt︠s︡iĭ kompleksnago peremi︠e︡nnago (Tip. Imperatorskoĭ Akademii Nauk, 1906), by S. E. Savich (page images at HathiTrust)
• Sur la continuité des fonctions de variables complexes ... (Gauthier-Villars, 1905), by Dimitrie Pompeiu (page images at HathiTrust)
• Major and minor threshold functions of six variables (University of Illinois at Urbana-Champaign, 1967), by John A. Rohr and University of Illinois at Urbana-Champaign. Department of Computer Science (page images at HathiTrust)
• Numerical quadrature over a rectangular domain in two or more dimensions (University of Illinois, 1959), by J. C. P. Miller, University of Illinois at Urbana-Champaign. Department of Computer Science, and University of Illinois at Urbana-Champaign. Graduate College. Digital Computer Laboratory (page images at HathiTrust)
• Lectures introductory to the theory of functions of two complex variables; delivered to the University of Calcutta during January and February 1913 (University Press, 1914), by Andrew Russell Forsyth (page images at HathiTrust)
• Course in mathematical analysis (Ginn and Co., 1916), by Edouard Goursat, Otto Dunkel, and E. R. Hedrick (page images at HathiTrust)
• Analytic functions of several complex variables (Stevens, 1949), by Carl Ludwig Siegel and N.J.) Institute for Advanced Study (Princeton (page images at HathiTrust)
• Some inequalities in the theory of functions (Dept. of Mathematics, Stanford University, 1952), by Zeev Nehari and United States. Office of Naval Research (page images at HathiTrust)
• Bounds for analytic functions of two complex variables. (Applied Mathematics and Statistics Laboratories, Stanford University, 1960), by Zygmunt Charzyński (page images at HathiTrust)
• On Schlicht transformations by functions of two complex variables. (Applied Mathematics and Statistics Laboratories, Stanford University, 1960), by Zygmunt Charzyński (page images at HathiTrust)
• Local theory of several complex variables (s. n., 1961), by Robert C. Gunning (page images at HathiTrust)
• Analytic spaces (Princeton University Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1960), by Hugo Rossi (page images at HathiTrust)
• Theory of functions of a complex variable (Courant Institute of Mathematical Sciences, 1948), by Richard Courant and A. A. Blank (page images at HathiTrust)
• ADCIRC : An advanced three-dimensional circulation model for shelves, coasts, and estuaries. Report 4, Hurricane storm surge modeling using large domains (U.S. Army Engineer Waterways Experiment Station, 1994), by Cheryl Ann Blain, Dredging Research Program, U.S. Army Engineer Waterways Experiment Station, and United States Army Corps of Engineers (page images at HathiTrust)
• Ten place tables of the Jacobian elliptic functions. Part 4, Arguments at rational fractions of the quarter period (Wright-Patterson Air Force Base, Ohio : Aerospace Research Laboratories, Air Force Systems Command, United States Air Force, 1972., 1972), by Henry E. Fettis, James C. Caslin, and Aerospace Research Laboratories (U.S.) (page images at HathiTrust)
• Tables of toroidal harmonics, III. functions of the first kind - orders 0-10 (Wright-Patterson Air Force Base, Ohio : Aerospace Research Laboratories, Office of Aerospace Research, United States Air Force, 1970., 1970), by Henry E. Fettis, James C. Caslin, and Aerospace Research Laboratories (U.S.) (page images at HathiTrust)
• Ob odnom prilozhenīi teorīi funkt︠s︡īĭ kompleksnago peremi︠e︡nnago k ploskoĭ zadachi︠e︡ matematicheskoĭ teorīi uprugosti. (Tip. K. Mattisena, 1909), by Guriĭ Vasilʹevich Kolosov (page images at HathiTrust)
• Theory of functions of a complex variable. [Lectures at] New York University [Institute of Mathematical Sciences] 1948. ([New York, 1948), by Richard Courant and Courant Institute of Mathematical Sciences (page images at HathiTrust)
• On the geometry of functions holomorphic in the unit circle, of arbitrarily slow growth, which tend to infinity on a sequence of curves approaching the circumference (Washington, D.C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1961., 1961), by Gerald R. MacLane, United States. Air Force. Office of Scientific Research, and Rice University (page images at HathiTrust)
• On periodic infinite radicals (Boulder, Colorado : University of Colorado, 1961., 1961), by Georgellen Schuske, Wolfgang J. Thron, United States. Air Force. Office of Scientific Research, and University of Colorado (Boulder campus) (page images at HathiTrust)
• Meromorphic functions with two values distributed on a finite number of paths extending to infinity (Washington, D.C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1961., 1961), by Albert Edrei, United States. Air Force. Office of Scientific Research, and Syracuse University (page images at HathiTrust)
• Curvature properties of teichmuller's space (Washington, D.C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1961., 1961), by Lars V. Ahlfors, United States. Air Force. Office of Scientific Research, and Harvard University (page images at HathiTrust)
• Underpolynomials and infrapolynomials (Washington D. C. : Mathematics Division, Office of Scientific Research, U.S. Air Force, 1956., 1956), by T. S. Motzkin, J. L. Walsh, Harvard University, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• On stability of compact submanifolds of complex manifolds (Washington, D.C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1961., 1961), by Kunihiko Kodaira, United States. Air Force. Office of Scientific Research, and N.J.) Institute for Advanced Study (Princeton (page images at HathiTrust)
• Cluster sets of pseudo-meromorphic functions (Washington, D.C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1961., 1961), by David Arne Storvick, United States. Air Force. Office of Scientific Research, and University of Minnesota (page images at HathiTrust)
• On Generalized axially symmetric potentials ([Washington, D.C.] : Air Force Office of Scientific Research, United States Air Force, 1961., 1961), by Robert P. Gilbert, College Park. Institute for Fluid Dynamics and Applied Mathematics University of Maryland, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• A Schwarz lemma for axially symmetric potentials ([Washington, D.C.] : Air Force Office of Scientific Research, United States Air Force, 1961., 1961), by Robert P. Gilbert, College Park. Institute for Fluid Dynamics and Applied Mathematics University of Maryland, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• On the Geometric character of singularity manifolds for harmonic functions in three variables : I (College Park, Maryland : University of Maryland, Institute for Fluid Dynamics and Applied Mathematics, 1961., 1961), by Robert P. Gilbert, College Park. Institute for Fluid Dynamics and Applied Mathematics University of Maryland, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Some properties of generalized axially symmetric potentials ([Washington, D.C.] : Air Force Office of Scientific Research, United States Air Force, 1961., 1961), by Robert P. Gilbert, College Park. Institute for Fluid Dynamics and Applied Mathematics University of Maryland, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• On a Result of Hadamard concerning the sign of the precession of a heavy symmetrical top (College Park, Maryland : University of Maryland, Institute for Fluid Dynamics and Applied Mathematis, 1962., 1962), by J. B. Diaz, F. T. Metcalf, College Park. Institute for Fluid Dynamics and Applied Mathematics University of Maryland, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Harmonic functions in four variables with algebraic and rational p4 associates (College Park, Maryland : University of Maryland, Institute for Fluid Dynamics and Applied Mathematics, 1962., 1962), by Robert P. Gilbert, College Park. Institute for Fluid Dynamics and Applied Mathematics University of Maryland, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Asymmetric prime ends : technical note (Washington D. C. : Mathematical Sciences Directorate, Office of Scientific Research, U.S. Air Force, 1960., 1960), by E. F. Collingwood, George Piranian, United States. Air Force. Office of Scientific Research, and University of Michigan. Department of Mathematics (page images at HathiTrust)
• Über zwei den Eulerschen Funktionen [Gamma](p) und β(p,q) ähnliche Doppelintegrale (Weida i Thür. : Thomas & Hubert, 1914), by Hans Eckert (page images at HathiTrust)

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