Keyword

geometric function theory

Description: A branch of complex analysis that studies geometric properties of analytic functions and the mappings they define.

Primary topic: Analytic and geometric function theory (93%)

Wikidata ID: wiki/Q5535485

OpenAlex ID: keywords/geometric-function-theory

Boundary Behaviour of Conformal Maps

1992 · Christian Pommerenke · Grundlehren der mathematischen Wissenschaften · 1,919

Geometric Theory of Functions of a Complex Variable

1969 · G. Goluzin · Translations of mathematical monographs · 1,864

Composition Operators on Spaces of Analytic Functions

2019 · Carl C. Cowen, Barbara D. Maccluer · Routledge eBooks · 1,634

Quasiconformal Mappings in the Plane

1973 · O. Lehto, K. I. Virtanen · Springer eBooks · 1,197

Differential Subordinations

2000 · Sanford S. Miller, Petru T. Mocanu · CRC Press eBooks · 890

Harmonic univalent functions

1984 · J. Clunie, T. Sheil-Small · Annales Academiae Scientiarum Fennicae Series A I Mathematica · 875

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Subclasses of univalent functions

1983 · Grigore Stefan Salagean · Lecture notes in mathematics · 859

New Criteria for Univalent Functions

1975 · Stephan Ruscheweyh · Proceedings of the American Mathematical Society · 836

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Conformal Invariants: Topics in Geometric Function Theory

1973 · Lars V. Ahlfors · 836

Harmonic Mappings in the Plane

2004 · Peter Duren · Cambridge University Press eBooks · 813

Differential subordinations theory and applications

2000 · Miller, Sanford S., Mocanu, Petru T. · 769

Geometric Function Theory and Non-linear Analysis

2001 · Tadeusz Iwaniec, Gaven Martin · 757

Eindeutige Analytische Funktionen

1936 · Rolf Nevanlinna · Springer eBooks · 712

On the Theory of Univalent Functions

1936 · Malcolm I. S. Robertson · Annals of Mathematics · 661

Univalent Functions and Teichmüller Spaces

1987 · Olli Lehto · Graduate texts in mathematics · 615

Conformal Geometry and Quasiregular Mappings

1988 · Matti Vuorinen · Lecture notes in mathematics · 597

Differential subordinations and univalent functions.

1981 · Sanford S. Miller, Petru T. Mocanu · The Michigan Mathematical Journal · 594

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On a Coefficient Problem for Bi-Univalent Functions

1967 · M. Lewin · Proceedings of the American Mathematical Society · 573

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Complex Dynamics and Renormalization

1994 · Curtis T. McMullen · 562

A Coefficient Inequality for Certain Classes of Analytic Functions

1969 · F. R. Keogh, E. P. Merkes · Proceedings of the American Mathematical Society · 551

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Close-to-convex schlicht functions.

1952 · Wilfred Kaplan · The Michigan Mathematical Journal · 518

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Bounded Analytic Functions

1981 · Pure and applied mathematics · 517

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Some extremal problems for certain families of analytic functions I

1973 · W. Janowski · Annales Polonici Mathematici · 515

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Quasiregular Mappings

1993 · Seppo Rickman · Springer eBooks · 511

Geometric Function Theory in One and Higher Dimensions

2003 · Ian Graham, Gabriela Kohr · CRC Press eBooks · 500

Works count: 14,310

Citation count: 116,900