Mathematics Applied Mathematics

Meromorphic and Entire Functions

Description

This cluster of papers focuses on complex differential equations, meromorphic functions, and their properties such as value distribution, uniqueness theorems, and normal families. It also explores topics related to difference equations, Nevanlinna theory, and the growth estimates of solutions.

Keywords

Meromorphic Functions; Difference Equations; Value Distribution Theory; Uniqueness Theorems; Nevanlinna Theory; Normal Families; Linear Differential Equations; Weighted Sharing; Entire Solutions; Growth Estimates

Most Cited Works

Action Title Date Authors
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Holomorphic Functions and Integral Representations in Several Complex Variables 1986-01-01 R. Michael Range
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Hilbert spaces of entire functions 1968-01-01 Louis de Branges
Elementary and Analytic Theory of Algebraic Numbers 1991-10-01 Peter Shiu Władysław Narkiewicz
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Tangents and Secants of Algebraic Varieties 2005-05-16 F. L. Zak
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The Betti numbers of the Hilbert scheme of points on a smooth projective surface 1990-03-01 Lothar Göttsche
Theta Functions on Riemann Surfaces 1973-01-01 John D. Fay
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Heights in Diophantine geometry 2006-12-01 Enrico Bombieri Walter Gubler
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Modular Functions and Dirichlet Series in Number Theory 1990-01-01 Tom M. Apostol
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Uniqueness Theory of Meromorphic Functions 2003-01-01 Chung-Chun Yang Hong‐Xun Yi
Almost Periodic Functions 1933-03-01 A. S. Besicovitch
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<i>Theory of Functions of a Complex Variable</i> 1966-06-01 A. I. Markushevich Richard A. Silverman J. Gillis
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An introduction to complex analysis 2012-01-01 Hilary Ann Priestley
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Groupes analytiques $p$-adiques 1965-01-01 Michel Lazard
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On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises 2001-05-15 Christophe Breuil Brian Conrad Fred Diamond Richard Taylor
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Introduction to the Theory of Algebraic Functions of One Variable 1951-12-31 Claude Chevalley
Some extremal problems for certain families of analytic functions I 1973-01-01 W. Janowski
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Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant 1997-04-01 Edward Bierstone
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Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis 1994-10-11 Hugh L. Montgomery
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Functions which Map the Interior of the Unit Circle Upon Simple Regions 1915-09-01 James Alexander
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Monodromy for the hypergeometric function n F n ?1 1989-06-01 Frits Beukers Gerrit Heckman
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Functions Starlike and Convex of Order α 1971-04-01 I. S. Jack
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Boundary Behaviour of Conformal Maps 1992-01-01 Christian Pommerenke
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Algebraic Families on an Algebraic Surface 1968-04-01 John Fogarty
Uniformly convex functions and a corresponding class of starlike functions 1993-01-01 Frode Rønning
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Tangents to an Analytic Variety 1992-01-01 Hassler Whitney
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An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers 1998-08-31 E M Matveev
Quasiconformal Mappings in the Plane: 1983-01-01 Olli Lehto K. I. Virtanen
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Uniform distribution of eigenfunctions on compact hyperbolic surfaces 1987-12-01 Steven Zelditch
Dynamical properties of some classes of entire functions 1992-01-01 Alexandre Erëmenko Mikhail Lyubich
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Lectures on entire functions 1996-07-23 B. Yu. Levin
Repellers for real analytic maps 1982-03-01 David Ruelle
Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations 2005-05-15 Rod Halburd Risto Korhonen
On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane 2008-05-01 Yik‐Man Chiang Shaoji Feng
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Distribution of Zeros of Entire Functions 1964-12-31 Б. В. Левин
Existence of minimal models for varieties of log general type 2009-11-13 Caucher Birkar Paolo Cascini Christopher D. Hacon James M textupc Kernan
Nilpotent connections and the monodromy theorem: Applications of a result of turrittin 1970-01-01 Nicholas M. Katz
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Some Basic Theorems on Algebraic Groups 1956-04-01 Maxwell Rosenlicht
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Quasiconformal Homeomorphisms and Dynamics I. Solution of the Fatou-Julia Problem on Wandering Domains 1985-09-01 Dennis Sullivan
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Picard Values of Meromorphic Functions and their Derivatives 1959-07-01 W. K. Hayman
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Sur La Distribution Limite Du Terme Maximum D'Une Serie Aleatoire 1943-07-01 B Gnedenko
The Bergman kernel and biholomorphic mappings of pseudoconvex domains 1974-03-01 Charles Fefferman
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Singular Integrals and Differentiability Properties of Functions (PMS-30) 1971-12-31 Elias M. Stein
Iteration of meromorphic functions 1993-01-01 Walter Bergweiler
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Elementary and Analytic Theory of Algebraic Numbers 2004-01-01 Władysław Narkiewicz
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MEROMORPHIC FUNCTIONS 1964-01-01 J. Clunie
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Function Theory in the Unit Ball of ℂn 1980-01-01 Walter Rudin
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Meromorphic Functions 2019-01-01 W. K. Hayman Eleanor F. Lingham
Modular Functions and Dirichlet Series in Number Theory 1976-01-01 Tom M. Apostol
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Current Topics in Analytic Function Theory 1992-12-01 H. M. Srivastava Shigeyoshi Owa
Diophantine Approximations and Value Distribution Theory 1987-01-01 Paul Vojta

Most Recent Works

Action Title Date Authors
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Relaxing the Φ-Family Auxiliary Functions and Related Results 2025-04-02 Salvatore Sessa Yahya Almalki Monairah Alansari Muhammad Usman Ali Essam Saleh Saad Said Al-Yari
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Generic density of equivariant min-max hypersurfaces 2025-04-01 Tongrui Wang
Convergence of Kac–Moody Eisenstein series over a function field 2025-04-01 Kyu-Hwan Lee Dongwen Liu Thomas Oliver
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A characterization of hypersurfaces of nearly K\"ahler $\mathbb{S}^3\times\mathbb{S}^3$ with $\mathcal{P}$-principal normal 2025-04-01 Miloš Djorić Mirjana Djorić
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Solution and Stability of New Type of Quadratic Multiplicative Functional Equation 2025-04-04 Jyotsana Jakhar Shalu Sharma Jagjeet Jakhar
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Generic singularities of planar reversible Filippov vector fields 2025-04-04 Felipe Emanoel Chaves Luis Fernando Mello Marco Antônio Teixeira
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The line integral of a $${\mathbb{B}\mathbb{C}}$$-valued continuous function along a $${\mathbb{B}\mathbb{C}}$$-continuous curve 2025-04-05 Panagiotis N. Koumantos
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Correction to: On the Cardinality of a Reduced Unique Range Set 2025-04-07 Bikash Chakraborty
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Meromorphic solutions of delay Schwarzian differential equations 2025-04-08 Xiaolu Nie Jiaxing Huang Yuefei Wang Chengfa Wu
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Rationality of the multivariate growth series for algebraic sets of virtually abelian groups 2025-04-08 Yusuke Nakamura
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Large cliques in extremal incidence configurations 2025-04-09 Tuomas Orponen Guangzeng Yi
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On the Inaba Extensions of Two-Dimensional Local Fields of Mixed Characteristic 2025-04-09 I. B. Zhukov O. Yu. Ivanova
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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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A central limit theorem for linear combinations of logarithms of Dirichlet L-functions sampled at the zeros of the zeta function 2025-04-09 Fatma Çi̇çek S. M. Gonek Scott Kirila
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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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On holomorphic curves into complex projective varieties 2025-04-10 Giang Le
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Dynamics of meromorphic functions involving cosine 2025-04-11 G. Krishna Kumar M. G. Prasad
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Adelic perturbation of rational functions and applications 2025-04-12 Félix Baril Boudreau Erik Holmes Khoa D. Nguyen
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Picard Values of Entire Functions and Their Differences 2025-04-15 Shuang-Ting Lan Zong-Xuan Chen
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Estimates for sums of Dirichlet series 2025-04-15 O.B. Hrybel P. V. Filevych
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All meromorphic solutions of a 3D Lotka–Volterra system: Detecting partial integrability 2025-04-01 Techheang Meng Rod Halburd
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On an open problem of value sharing and differential equations 2025-04-16 Molla Basir Ahamed Vasudevarao Allu
Weighted Contractivity for Derivatives of Functions in the Bergman Space on the Unit Disk 2025-04-16 David Kalaj Petar Melentijević
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Solutions and existence results for difference equations of fermat type 2025-04-16 Nabadwip Sarkar Pradip Das
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Curves with many rational points via Atkin–Lehner involution 2025-04-17 Vural Cam Ferruh Özbudak
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Syzygies of tangent-developable surfaces and K3 carpets via secant varieties 2025-04-22 Jinhyung Park
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Hurwitz integrality of the power series expansion of the sigma function for a telescopic curve 2025-04-23 Takanori Ayano
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Periodic boundary points for simply connected Fatou components of transcendental maps 2025-04-22 Anna Jové
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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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Linear differential polynomial of a meromorphic function sharing values with shift 2025-04-23 Dilip Chandra Pramanik Nilanjan Dey
The growth of transcendental entire solutions of linear difference equations with polynomial coefficients 2025-04-02 X. L. Liu Zhi‐Tao Wen Chun Zhu
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The number of zeros of the sum of Abelian integrals satisfying two-dimensional Picard-Fuchs equations 2025-04-01 Changjian Liu Shaoqing Wang
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Upper Bounds for Shifted Moments of Quadratic Dirichlet L-Functions over Function Fields 2025-04-24 Peng Gao Liangyi Zhao
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Concentrating Solutions of the Fractional (<i>p,q</i>)-Choquard Equation with Exponential Growth 2025-04-25 Yueqiang Song Xueqi Sun Dušan Repovš
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On the dynamics of a complex continued fraction map which contains the Gauss map as its real number section 2025-04-25 Hiromi Ei Hitoshi Nakada Rie Natsui
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On the best polynomial approximation of analytical functions in the Bergman space B2 2025-04-25 М. Ш. Шабозов Kh. M. Khuromonov
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CMC hypersurfaces with polynomial volume growth in warped products and the nonexistence of entire solutions to the minimal hypersurface equation 2025-04-28 Henrique F. de Lima
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Le théorème de Lüroth pour les corps de fractions tordus par un automorphisme fini 2025-04-01 Bruno Deschamps
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Quantum-Consistent Adelic Integration and Structure of Egyptian Fractions 2025-04-29 J. Bel
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Some Irreducible Polynomials Over a Finite Field 2025-05-01 Amara Chandoul Abdullah Assiry
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A Specific Category of Meromorphic Functions with Positive Coefficients 2025-05-01 Omar Alnajar Khalid Alshammari Maslina Darus Ala Amourah
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An In-Depth Investigation of the Riemann Zeta Function Using Infinite Numbers 2025-04-30 Emmanuel Thalassinakis
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On several irrationality problems for Ahmes series 2025-05-01 Vjekoslav Kovač Terence Tao
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Distinguished varieties and the Nevanlinna–Pick problem on the symmetrized bidisk 2025-05-03 B. Krishna Das Poornendu Kumar Haripada Sau
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Holomorphic forms and non-tautological cycles on moduli spaces of curves 2025-05-04 Veronica Arena Samir Canning Emily Clader Richard Haburcak Amy Q. Li Siao Chi Mok Carolina Tamborini
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Eventual tightness of projective dimension growth bounds: quadratic in the degree 2025-05-01 Raf Cluckers Itay Glazer
Ratios of consecutive values of the divisor function 2025-04-27 Sean Eberhard
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On Spirallikeness of Entire Functions 2025-05-09 Narjes Alabkary Saiful R. Mondal
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Derived 𝑝-adic heights and the leading coefficient of the Bertolini–Darmon–Prasanna 𝑝-adic 𝐿-function 2025-05-09 Francesc Castella Chi-Yun Hsu Debanjana Kundu Young-Min Lee Zheng Liu
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Limits of an Increasing Sequence of Riemann Surfaces 2025-05-09 Diganta Borah Prachi Mahajan Jiju Mammen