Mathematics Geometry and Topology

Analytic and geometric function theory

Description

This cluster of papers focuses on the study of geometric function theory and complex analysis, particularly on topics such as analytic and univalent functions, conformal and quasiconformal mappings, coefficient estimates, subordination, and harmonic mappings. It also explores the applications of hypergeometric functions in this context.

Keywords

Geometric Function Theory; Complex Analysis; Analytic Functions; Univalent Functions; Conformal Mapping; Coefficient Estimates; Subordination; Harmonic Mappings; Quasiconformal Mappings; Hypergeometric Functions

Most Cited Works

Action Title Date Authors
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Metric Structures for Riemannian and Non-Riemannian Spaces 2007-01-01 Mikhael Gromov
Conformal Geometry and Quasiregular Mappings 1988-01-01 Матти Вуоринен
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Univalent Functions and Teichmüller Spaces 1987-01-01 Olli Lehto
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Lectures on Analysis on Metric Spaces 2001-01-01 Juha Heinonen
Lectures on n-Dimensional Quasiconformal Mappings 1971-01-01 Jussi Väısälä
Lectures on Quasiconformal Mappings 2006-07-14 Lars V. Ahlfors
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Geometric Function Theory in One and Higher Dimensions 2003-03-18 Ian D. Graham Gabriela Kohr
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Subclasses of univalent functions 1983-01-01 Grigore Stefan Sǎlǎgean
Some extremal problems for certain families of analytic functions I 1973-01-01 W. Janowski
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On the variation in the cohomology of the symplectic form of the reduced phase space 1982-06-01 J. J. Duistermaat Gerrit Heckman
Some classes of regular univalent functions 1965-08-01 Richard J. Libera
A class of almost contact Riemannian manifolds 1972-01-01 Katsuei Kenmotsu
On the regularity of the minima of variational integrals 1982-01-01 Mariano Giaquinta Enrico Giusti
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Harmonic univalent functions 1984-01-01 J. Clunie T. Sheil-Small
Differential subordinations and univalent functions. 1981-01-01 Sanford S. Miller Petru T. Mocanu
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Regularity Results for a Class of Functionals with Non-Standard Growth 2001-02-01 E. Acerbi Giuseppe Mingione
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New criteria for univalent functions 1975-05-01 Stephan Ruscheweyh
The boundary correspondence under quasiconformal mappings 1956-01-01 Arne Beurling Lars V. Ahlfors
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On Isolated Rational Singularities of Surfaces 1966-01-01 Michael Artin
The Schwarzian derivative and schlicht functions 1949-01-01 Zeev Nehari
On some inequalities for the gamma and psi functions 1997-01-01 Horst Alzer
On uniformly convex functions 1991-01-01 A. W. Goodman
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Certain subclasses of analytic and bi-univalent functions 2010-05-28 H. M. Srivastava Akshaya Mishra P. Gochhayat
Rings and quasiconformal mappings in space 1962-03-01 F. W. Gehring
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Functions Starlike and Convex of Order α 1971-04-01 I. S. Jack
The Lp-integrability of the partial derivatives of A quasiconformal mapping 1973-01-01 F. W. Gehring
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Boundary Behaviour of Conformal Maps 1992-01-01 Christian Pommerenke
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A Poisson Formula for Semi-Simple Lie Groups 1963-03-01 Harry Furstenberg
Quasiconformal maps in metric spaces with controlled geometry 1998-01-01 Juha Heinonen Pekka Koskela
An inequality of the Hölder type, connected with Stieltjes integration 1936-01-01 Louise Young
Quasiconformal Mappings in the Plane: 1983-01-01 Olli Lehto K. I. Virtanen
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Starlike and Prestarlike Hypergeometric Functions 1984-07-01 B. C. Carlson Dorothy Browne Shaffer
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Quasi-conformal mappings inn-space and the rigidity of hyperbolic space forms 1968-01-01 G. D. Mostow
Univalent functions with negative coefficients 1975-08-01 Herb Silverman
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On the evolution of harmonic mappings of Riemannian surfaces 1985-12-01 Michaël Struwe
Convex and starlike univalent functions 1969-01-01 S. D. Bernardi
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Functions of positive and negative type, and their connection with the theory of integral equations 1909-11-03 James W. Mercer
On the maximal monotonicity of subdifferential mappings 1970-04-01 R. T. Rockafellar
Quasiconformal mappings and extendability of functions in sobolev spaces 1981-01-01 Peter W. Jones
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Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree 1995-12-01 Holger Wendland
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Parabolic Geometries I 2009-08-19 Andreas Čap Jan Slovák
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A Sharp Inequality of J. Moser for Higher Order Derivatives 1988-09-01 David R. Adams
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An optimal Poincaré inequality for convex domains 1960-01-01 L. E. Payne Hans F. Weinberger
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Space Mappings with Bounded Distortion 1989-01-01 Yu. G. Reshetnyak
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Functions of One Complex Variable 1973-01-01 John B. Conway
Integrals of Bessel functions 1962-12-01
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Quasiregular Mappings 1993-01-01 Seppo Rickman
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GENERALIZED FUNCTIONS 1964-01-01
Schwarz-Christoffel Mapping 2002-06-20 Tobin A. Driscoll Lloyd N. Trefethen
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Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48) 2008-12-31 Kari Astala Tadeusz Iwaniec Gaven Martin

Most Recent Works

Action Title Date Authors
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Zero-one law of orbital limit points for weighted shifts 2025-04-07 A. Bonilla Rodrigo Cardeccia Karl‐G. Grosse‐Erdmann Santiago Muro
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Boundedness of Forelli-Rudin type operators on tube domains over the forward light cones 2025-04-08 Jiaxin Liu Guantie Deng Zhiqiang Gao
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Estimates of all terms of homogeneous polynomial expansions for the subclasses of g-parametric starlike mappings of complex order in several complex variables 2025-04-08 Liangpeng Xiong Wang Qing-chao Xiaoying Sima
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Certain Extremal Problems on a Classical Family of Univalent Functions 2025-04-08 Lateef Ahmad Wani Saiful R. Mondal
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Discrete homogeneous Moran sets on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.svg" display="inline" id="d1e45"><mml:mi mathvariant="double-struck">Z</mml:mi></mml:math> 2025-04-08 Yi Lü Jingjing Chen Lifeng Xi
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A Class of Meromorphic Multivalent Functions with Negative Coefficients Defined by a Ruscheweyh-Type Operator 2025-04-09 Isabel Marrero
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The Landau–Bloch type theorems for certain class of holomorphic and pluriharmonic mappings in C^n 2025-04-10 Vasudevarao Allu Rohit Kumar
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Analytical properties on multiplicatively <i>M</i><sub>ψ</sub><i>A-p</i>-functions and related multiplicative ψ-Hilfer fractional trapezoid-type inequalities 2025-04-10 Z. Q. Tan Tingsong Du
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The BiGamma Function and some of its Related Inequalities 2025-04-11 Mohamed Chergui Mustapha Räıssouli
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Coefficient Estimates and Fekete-Szego Inequalities for a Families of Bi-Univalent Functions Related to <i>q</i>-Srivastava-Attiya Operator 2025-04-11 Abbas Kareem Wanas Noor Yasser Jabir
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On the Third Hankel Determinant of a Certain Subclass of Bi-Univalent Functions Defined by (p,q)-Derivative Operator 2025-04-11 Mohammad El-Ityan Qasim Ali Shakir Tariq Al-Hawary Rafid Habib Buti Daniel Breaz Luminiţa-Ioana Cotîrlă
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A Novel Subclass of Harmonic Functions: Coefficient Bounds, Distortion Bounds, and Closure Properties 2025-04-15 Serkan Çakmak
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Pseudo-effectivity of the relative canonical divisor and uniruledness in positive characteristic 2025-04-16 Zsolt Patakfalvi
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Universally prestarlike functions associated with generalized telephone numbers 2025-04-18 G. Murugusundaramoorthy H. Özlem Güney
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A new subclass of bi-univalent functions of complex order defined by the symmetric q-derivative and subordination 2025-04-20 Mohammad El-Ityan Tariq Al-Hawary Suha Hammad B. A. Frasin
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On a weighted problem of p-biharmonic type in the unit ball of R^N with exponential growth non linearity 2025-04-18 Rached Jaidane
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Exponential Powers of the Product of Two Univalent Log-Harmonic Mappings 2025-04-20 Jian‐Zhong Mo
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Hankel Determinant of Second Kind for a New Subclass of Analytic Functions Involving Chebyshev Polynomials 2025-04-21 FATUNSIN LOLADE MODUPE OPOOLA TIMOTHY OLOYEDE
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On the concavity and convexity of 1/ζ 2025-04-18 Horst Alzer Man Kam Kwong
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Sharp Starlike and Convex Radii for the Differential Operator of Analytic Functions 2025-04-23 Zhenyong Hu H. M. Srivastava Ying Zhang
An analogue of Koebe’s theorem and the openness of a limit map in one class 2025-04-24 Evgeny Sevost’yanov Valery Targonskii
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Some Results for Third-Order Differential Subordination and Superordination Involving the Fractional Derivative and Differential Operator 2025-04-25 Noor Yasser Jbair Abbas Kareem Wanas
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Recent Developments in Chen’s Biharmonic Conjecture and Some Related Topics 2025-04-25 Bang‐Yen Chen
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Expansion coefficients and their relation for Melnikov functions near polycycles 2025-04-25 Feng Liang Maoan Han
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New Classes of Bi-univalent functions associated with $q$-Analogue of Struve Functions 2025-04-27 Mallikarjun SHRIGAN Ashok Thombre D Chate
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New subclass of bi-univalent functions involving the Wright function associated with the Jung-Kim-Srivastav operator 2025-04-27 Mohammad El-Ityan Ala Amourah Suha Hammad Rafid Habib Buti Abdullah Alsoboh
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A note on the problem of geodesics curves with fractional derivative of Atangana–Baleanu 2025-04-26 Antonio de Jesús Colin-Luqueño Raúl Temoltzi-Ávila
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A note on limsup sets of annuli 2025-04-28 Mumtaz Hussain Benjamin Ward
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Diederich–Fornæss index and global regularity in the \overline{∂}–Neumann problem: domains with comparable Levi eigenvalues 2025-05-01 Bingyuan Liu Emil J. Straube
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An integral equation method in conformal mapping of regions with circular slit 2025-05-01 Yong Yuan Shan Yong Yuan Shan Yibin Lu
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Second Order Differential Subordination with the Mittag-Leffler Operator 2025-05-01 Ebrahim Amini Shrideh Al‐Omari Mona Khandaqji
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Second Hankel Determinant for a Bi-univalent Function Subclass Based Gegenbauer (Ultraspherical) Polynomials 2025-05-01 Abdelbaset Zeyani Abdulmtalb Hussen
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Certain Subclass of Multivalently Bazilevič and Non-Bazilevič Functions Involving the Lemniscate of Bernoulli 2025-05-01 T. M. Seoudy Amnah E. Shammaky
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Vandermonde Determinant for the Generalized Bounded Turning Functions Associated with Gregory Coefficients 2025-05-01 Nur Hazwani Aqilah Abdul Wahid Shaharuddin Cik Soh
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Fekete–Szeg˝o Inequalities for a New Class of Bi-Univalent Functions Defined via the Mittag-Leffler Function 2025-05-01 Mohammad Al-Ityan Ala Amourah Abdullah Alsoboh Nidal Anakira Mohammad Bani Raba’a Suha Hammad Tala H. Sasa
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Coefficient Results on Certain Subclasses of Sakaguchi Type Bi-univalent Functions 2025-05-01 Lily Yee Maslina Darus
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Fekete-Szeg¨o Inequalities for a New Class of Bi-Univalent Functions Defined via the Mittag-Leffler Function 2025-05-01 Ala Amourah Mohammad Al-Ityan Abdullah Alsoboh Mohammad Bani Raba'a Suha Hammad
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Coefficient bounds and Fekete-Szegő problem for some classes of analytic functions defined by using a fractional operator 2025-05-02 Eszter Szatmari
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Dirichlet Scalar Determinants on Two-Dimensional Constant Curvature Disks 2025-05-05 Soumyadeep Chaudhuri Frank D. Ferrari
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New class of symmetric starlike functions subordinate to the generating function of Gregory coefficients 2025-05-05 Mohammad Faisal Khan Mohammed AbaOud Naeem Ahmad Muqrin A. Almuqrin
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A Certain Class of Function Analytic and Subordinate to the Modified Sigmoid Function 2025-05-06 Ezugorie Obiageri M. Z. Ishiaku Fadipe-Joseph Olubunmi A.
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On the Geodesics of the Szegő metric 2025-05-01 Aparna Bhatnagar
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Identification of two distinct antiferromagnetic phases in the Au-Al-Gd quasicrystal approximant 2025-05-06 Farid Labib Takanori Sugimoto Hiroyuki Takakura Asuka Ishikawa Ryuji Tamura
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Adequate Criteria for Strongly Starlikeness and Strongly Convexity of Functions 2025-05-06 Mustafa A. Sabri
Some Optimal Inequalities for $$\alpha $$-harmonic Functions Estimated by their Boundary Functions 2025-05-06 Bo-Yong Long
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On Certain New Subclass of Janowski Harmonic Univalent Functions Defined Using Subordination 2025-05-07 Rajendran Srinivasan Saurabh Porwal R. Ezhilarasi T. V. Sudharsan
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A Class of Symmetric Harmonic Functions Involving a Specific q-Difference Symmetric Operator 2025-05-08 Loriana Andrei Vasile-Aurel Caus
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On the index of power compositional polynomials 2025-05-08 Sumandeep Kaur Surender Kumar László Remete
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New Subclass of Meromorphic Functions Defined via Mittag–Leffler Function on Hilbert Space 2025-05-09 Mohammad El-Ityan Luminiţa-Ioana Cotîrlă Tariq Al-Hawary Suha Hammad Daniel Breaz Rafid Habib Buti
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On a Diameter Schwarz Lemma and its Applications 2025-05-09 Han-Yu Wu Bo Yang