Search Results - "Meromorphic functions of one complex variable (general theory)"

URSIM for Meromorphic Functions in a non-Archimedean Field: URSIM for meromorphic functions in a non-Archimedean field

Authors: Vu Hoai An Chanthaphone, Phommavong

Source: p-Adic Numbers, Ultrametric Analysis and Applications. 17:28-41

Subject Terms: non-Archimedean meromorphic functions, unique range sets, sharing sets, Non-Archimedean function theory, Strong solutions to PDEs, Meromorphic functions of one complex variable (general theory)

File Description: application/xml

Access URL: https://zbmath.org/8008819
https://doi.org/10.1134/s2070046625010030

A note on Hayman’s problem: A note on Hayman's problem

Authors: Jiaxing Huang Yuefei Wang

Source: Canadian Mathematical Bulletin. 68:620-627

Subject Terms: Mathematics - Complex Variables, zero distributions, FOS: Mathematics, meromorphic functions, Normal functions of one complex variable, normal families, 0101 mathematics, Complex Variables (math.CV), Hayman's problem, Meromorphic functions of one complex variable (general theory), differential polynomials, 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: http://arxiv.org/abs/2212.01063

Meromorphic functions that share three limit values with their derivatives

Authors: Andreas Sauer

Source: The Journal of Analysis. 33:819-823

Subject Terms: meromorphic functions, 0101 mathematics, Meromorphic functions of one complex variable (general theory), sharing values, 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, entire functions

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Meromorphic Function Sharing Two Pairs of Small Functions IM: Meromorphic function sharing two pairs of small functions IM

Authors: Majumder, S. Sarkar, N. Sarkar, J.

Source: Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). 59:349-364

Subject Terms: uniqueness, meromorphic functions, sharing small functions, Meromorphic functions of one complex variable (general theory), Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Two meromorphic functions sharing some pairs of values on an annuli

Authors: Huong Giang Ha

Source: The Journal of Analysis. 33:427-438

Subject Terms: meromorphic functions on an annulus, Möbius transformation, Meromorphic functions of one complex variable (general theory), sharing values, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: https://zbmath.org/8035355
https://doi.org/10.1007/s41478-024-00843-z

Investigations on uniqueness of meromorphic functions in the k-punctured complex plane: Investigations on uniqueness of meromorphic functions in the \(k\)-punctured complex plane

Authors: Maity, Sayantan

Source: Rendiconti del Circolo Matematico di Palermo Series 2. 73:3065-3076

Subject Terms: \(k\)-punctured complex plane, meromorphic functions, sharing small functions, Meromorphic functions of one complex variable (general theory), Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: https://zbmath.org/7960869
https://doi.org/10.1007/s12215-024-01090-8

Bounded Fatou and Julia components of meromorphic functions

Authors: David Martí-Pete Lasse Rempe James Waterman

Source: Martí-Pete, D, Rempe, L & Waterman, J 2024, ' Bounded Fatou and Julia components of meromorphic functions ', Mathematische Annalen . https://doi.org/10.1007/s00208-023-02725-4

Subject Terms: 37B45, Fatou set, Mathematics - Complex Variables, Combinatorics and topology in relation with holomorphic dynamical systems, Julia set, Dynamical Systems (math.DS), Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Approximation in the complex plane, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets, Bifurcations, parameter spaces in holomorphic dynamics, the Mandelbrot and Multibrot sets, Primary 37F10, wandering compacta, Fatou component, 54F15, Secondary 30D05, escaping set, FOS: Mathematics, meromorphic function, 37F10 (primary), 30D05, 37B45, 54F15 (secondary), Mathematics - Dynamical Systems, 0101 mathematics, Complex Variables (math.CV), approximation theory, Meromorphic functions of one complex variable (general theory)

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Access URL: http://arxiv.org/abs/2204.11781
https://zbmath.org/7967057
https://doi.org/10.1007/s00208-023-02725-4
https://research.manchester.ac.uk/en/publications/e507b2e3-3b70-46ef-8cf3-e881cbbfd148
https://doi.org/10.1007/s00208-023-02725-4
https://research.manchester.ac.uk/en/publications/e507b2e3-3b70-46ef-8cf3-e881cbbfd148
http://www.scopus.com/inward/record.url?scp=85195367611&partnerID=8YFLogxK
https://doi.org/10.1007/s00208-023-02725-4

Uniqueness Result Concerning First Derivative and Difference of a Meromorphic Function andSufficient Condition for Periodicity: Uniqueness result concerning first derivative and difference of a meromorphic function and sufficient condition for periodicity

Authors: Majumder, S. Sarkar, N.

Source: Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). 59:199-208

Subject Terms: uniqueness, meromorphic functions, Meromorphic functions of one complex variable (general theory), sharing values, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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A classification of automorphic Lie algebras on complex tori

Authors: Vincent Knibbeler Sara Lombardo Casper Oelen

Source: Proceedings of the Edinburgh Mathematical Society. 67:947-989

Subject Terms: rings and algebras, Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, Mathematics - Rings and Algebras, 01 natural sciences, infinite-dimensional Lie algebras, automorphic Lie algebras, Rings and Algebras (math.RA), equivariant map algebras, 0103 physical sciences, FOS: Mathematics, Infinite-dimensional Lie (super)algebras, Exactly Solvable and Integrable Systems (nlin.SI), 0101 mathematics, Meromorphic functions of one complex variable (general theory), Actions of groups on commutative rings, invariant theory

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Access URL: http://arxiv.org/abs/2405.13598

UNICITY OF MEROMORPHIC FUNCTIONS CONCERNING DERIVATIVES-DIFFERENCE AND SMALL FUNCTIONS: Unicity of meromorphic functions concerning derivatives-difference and small functions

Authors: Wang, Ge He, Zhiying Fang, Mingliang

Source: Journal of Applied Analysis & Computation. 14:2845-2861

Subject Terms: sharing of small functions, uniqueness, meromorphic functions, Meromorphic functions of one complex variable (general theory), Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: https://zbmath.org/7924349
https://doi.org/10.11948/20230454

Ruscheweyh-type meromorphic harmonic functions

Authors: J. Dziok

Source: Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-14 (2024)

Subject Terms: starlike functions, Missing coefficients, Extreme points, Subordination, meromorphic harmonic functions, subordination, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Ruscheweyh derivatives, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations, QA1-939, extreme points, Meromorphic harmonic functions, missing coefficients, Starlike functions, Meromorphic functions of one complex variable (general theory), Mathematics

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Access URL: https://zbmath.org/8034411
https://doi.org/10.1186/s13660-024-03160-y
https://doaj.org/article/7b4c387f297742d9a698aa0f6f45d896

Meromorphic functions sharing three values with their shift

Authors: Majumder, Sujoy Das, Pradip

Source: Ukrains’kyi Matematychnyi Zhurnal. 76

Subject Terms: sharing small periodic functions, uniqueness, meromorphic functions, 0101 mathematics, Meromorphic functions of one complex variable (general theory), 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: https://zbmath.org/7950602
https://doi.org/10.1007/s11253-024-02368-x

On the Growth of Solutions of Higher Order Linear Homogeneous and Non-homogeneous Differential Equations: On the growth of solutions of higher order linear homogeneous and non-homogeneous differential equations

Authors: Wu, Nan Xuan, Zuxing

Source: Journal of Nonlinear Mathematical Physics. 30:400-411

Subject Terms: differential equation, Growth and boundedness of solutions to ordinary differential equations, order, Entire and meromorphic solutions to ordinary differential equations in the complex domain, 0101 mathematics, Meromorphic functions of one complex variable (general theory), 01 natural sciences, meromorphic solution

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Universal radial limits of meromorphic functions in the unit disk

Authors: Meyrath, Thierry

Source: Comptes Rendus. Mathématique, Vol 360, Iss G8, Pp 893-898 (2022)

Subject Terms: QA1-939, universality, Cluster sets, prime ends, boundary behavior, 0101 mathematics, Universal functions of one complex variable, Meromorphic functions of one complex variable (general theory), 01 natural sciences, Mathematics, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, universal meromorphic functions

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Access URL: https://doaj.org/article/1488281e6d1c4b1d86ae81ab95b932c5

On the uniqueness of certain type of nonlinear differential polynomials with regard to multiplicity sharing a small function

Authors: Biswajit Saha Subrata Pal

Source: The Journal of Analysis. 31:519-537

Subject Terms: uniqueness, meromorphic functions, 0101 mathematics, difference-differential polynomial, Meromorphic functions of one complex variable (general theory), sharing values, 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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On the meromorphic solutions of a certain type of nonlinear difference-differential equation: On the meromorphic solutions of a certain type of nonlinear difference-differential equation.

Authors: Sujoy Majumder Lata Mahato

Source: Mathematica Bohemica, Vol 148, Iss 1, Pp 73-94 (2023)

Subject Terms: differential polynomial, nevanlinna's value distribution theory, QA1-939, Nevanlinna's value distribution theory, Other functions coming from differential, difference and integral equations, nonlinear differential equation, Entire and meromorphic solutions to ordinary differential equations in the complex domain, 0101 mathematics, Meromorphic functions of one complex variable (general theory), 01 natural sciences, Mathematics, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: https://doaj.org/article/89ec2343820f431c916ddd2f369673ee

Power of Entire Function Sharing Non-zero Polynomials with It’s Linear Differential Polynomial: Power of entire function sharing non-zero polynomials with it's linear differential polynomial

Authors: Majumder, Sujoy Sarkar, Rudra Kanta

Source: Computational Methods and Function Theory. 23:23-48

Subject Terms: sharing polynomials, uniqueness, meromorphic functions, 0101 mathematics, Meromorphic functions of one complex variable (general theory), 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: https://zbmath.org/7667244
https://doi.org/10.1007/s40315-022-00439-3

Entire Function Sharing Entire Function with its First Derivative: Entire function sharing entire function with its first derivative

Authors: Majumder, Sujoy Sarkar, Jeet

Source: Kragujevac Journal of Mathematics. 46:675-683

Subject Terms: Nevanlinna theory, derivative, meromorphic functions, Meromorphic functions of one complex variable (general theory), Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, normal family

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NORMAL FAMILIES AND ENTIRE FUNCTIONS SHARING ONE VALUE WITH THEIR k-TH DERIVATIVES: Normal families and entire functions sharing one value with their \(k\)-th derivatives

Authors: Majumder, Sujoy Dam, Arup

Source: Poincare Journal of Analysis and Applications. 10

Subject Terms: Nevanlinna theory, uniqueness, derivative, Meromorphic functions of one complex variable (general theory), Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, entire functions, normal family

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ON BOREL DIRECTION CONCERNING SMALL FUNCTIONS: On Borel direction concerning small functions

Authors: T. Y. Peter Chern

Source: Tamkang Journal of Mathematics. 29:13-16

Subject Terms: Borel direction, meromorphic function, 0101 mathematics, Meromorphic functions of one complex variable (general theory), 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: https://journals.math.tku.edu.tw/index.php/TKJM/article/download/4289/1363
https://zbmath.org/1180717