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MEROMORPHIC_FUNCTIONS: 作品数：171被引量：318H指数：9; 导出分析报告; 相关作者：张学莲方明亮撒米尔姜淑珍阿美如更多>>; 相关机构：山东大学北京理工大学南京师范大学南昌大学更多>>; 相关期刊：《Journal of Applied Mathematics and Physics》《Communications in Mathematics and Statistics》《Applied Mathematics》《Communications in Mathematical Research》更多>>; 相关基金：国家自然科学基金广东省自然科学基金山东省自然科学基金福建省自然科学基金更多>>

Uniqueness on Difference Operators of Meromorphic Functions of Infinite Order: 《Acta Mathematica Sinica,English Series》2024年第2期511-527,共17页Hui LI Ming Liang FANG Xiao YAO; Supported by National Natural Science Foundation of China(Grant Nos.12071047,12171127,11901311);National Key Technologies R&D Program of China(Grant No.2020YFA0713300)。; We investigate the uniqueness problems of meromorphic functions and their difference operators by using a new method.It is proved that if a non-constant meromorphic function f shares a non-zero constant and ∞ countin...; 关键词：UNIQUENESS meromorphic functions difference operators infinite order

Meromorphic Functions of Finiteφ-order and Linear Askey-Wilson Divided Difference Equations被引量：1: 《Acta Mathematica Sinica,English Series》2022年第2期371-383,共13页Hui YU Janne HEITTOKANGAS Jun WANG Zhi Tao WEN; the support of the China Scholarship Council(Grant No.201806330120);supported by National Natural Science Foundation of China(Grant No.11771090);supported by the National Natural Science Foundation of China(Grants Nos.11971288 and 11771090);Shantou University SRFT(Grant No.NTF18029)。; The growth of meromorphic solutions of linear difference equations containing Askey-Wilson divided difference operators is estimated.Theφ-order is used as a general growth indicator,which covers the growth spectrum b...; 关键词：Askey-Wilson divided difference operator Askey-Wilson divided difference equation lemma on the logarithmic

Quasi-normal Family of Meromorphic Functions Whose Certain Type of Differential Polynomials Have No Zeros: 《Acta Mathematica Sinica,English Series》2021年第8期1267-1277,共11页Jian Ming CHANG; Supported by NSFC(Grant No.11471163)。; Define the differential operators φ_(n) for n∈N inductively by φ_(1)[f](z)=f(z)and φ_(n+1)[f](z)=f(z)φ_(n)[f](z)+d/daφ_(n)[f](z).For a positive integer k≥2 and a positive number δ,let F be the family of functi...; 关键词：Normal families quasi-normal families differential polynomials meromorphic functions

The Mean-value of Meromorphic Functions with Respect to a Generalized Boolean Transformation: 《Acta Mathematica Sinica,English Series》2019年第5期662-670,共9页Nattiwut MAUGMAI Teerapat SRICHAN; supported by Thailand research fund(Grant No.MRG6080210); A formula for the mean-value distribution of certain meromorphic functions on a vertical line s = σ +iR under a generalized Boolean transformation, called rational Boolean transformation from R into itself, is derive...; 关键词：Birkhoff's ergodic theorem BOOLEAN TRANSFORMATION mean-value MEROMORPHIC functions

Fixed Points of Meromorphic Functions and of Their Differences,Divided Differences and Shifts被引量：6: 《Acta Mathematica Sinica,English Series》2016年第10期1189-1202,共14页Ran Ran ZHANG Zong Xuan CHEN; Supported by Training Plan Fund of Outstanding Young Teachers of Higher Learning Institutions of Guangdong Province(Grant No.Yq20145084602);National Natural Science Foundation of China(Grant Nos.11226090,11171119);Guangdong National Natural Science Foundation(Grant Nos.2014A030313422,2016A030313745); Let f（z） be a finite order meromorphic function and let c ∈ C ／ {0} be a constant. If f（z） has a Borel exceptional value α∈ C, it is proved that max{τ（f（z））, τ（ △cf（z）） } = max{τ（f（z））, τ...; 关键词：Fixed point meromorphic function complex difference SHIFT

Picard Values and the Growth of Meromorphic Functions: 《Acta Mathematica Sinica,English Series》2013年第10期1981-1992,共12页Jun Fan CHEN; Supported by National Natural Science Foundation of China(Grant No.11126351);Natural Science Foundation of Fujian Province,China(Grant No.2010J05003); The purpose of this paper is to investigate the growth of meromorphic functions concern- ing Picard values with a radially distributed value. This generalizes a classic result due to Hayman [Hayman, W. K.： Picard val...; 关键词：Meromorphic function GROWTH radial distribution DEFICIENCY angular domain

Derivatives of Meromorphic Functions with Multiple Zeros and Elliptic Functions被引量：3: 《Acta Mathematica Sinica,English Series》2013年第7期1257-1278,共22页Pai YANG Shahar NEVO; supported by the Israel Science Foundation (Grant No. 395/2007); Let f be a nonconstant meromorphic function in the plane and h be a nonconstant elliptic function. We show that if all zeros of f are multiple except finitely many and T（r, h） = 0{T（r, f）} as r → ∞, then f′ = h...; 关键词：Normal family elliptic function

A Normal Criterion about Two Families of Meromorphic Functions Concerning Shared Values被引量：5: 《Acta Mathematica Sinica,English Series》2013年第1期151-158,共8页Xiao Jun LIU San Hua LI Xue Cheng PANG; Supported by National Natural Science Foundation of China(Grant No.11071074);supported by Outstanding Youth Foundation of Shanghai(Grant No.slg10015); In this paper, we mainly discuss the normality of two families of functions concerning shared values and proved： Let F and G be two families of functions meromorphic on a domain D C C, a1, a2, a3, a4 be four distinct...; 关键词：Normal family shared values meromorphic functions

Normality and Quasinormality of Zero-free Meromorphic Functions被引量：11: 《Acta Mathematica Sinica,English Series》2012年第4期707-716,共10页Jian Ming CHANG; Supported by National Natural Science Foundation of China(Grant No.10871094);NSFU of Jiangsu,China(Grant No.08KJB110001);Qinglan Project of Jiangsu,China,and SRF for ROCS,SEM; Let k, K ∈1N and F be a family of zero-free meromorphic functions in a domain D such that for each f ∈ F, f（k） - 1 has at most K zeros, ignoring multiplicity. Then F is quasinormal of order at most v=k/k＋1,where ...; 关键词：Meromorphic functions normal family

Some Results Related to a Question of Hinkkanen: 《Acta Mathematica Sinica,English Series》2007年第8期1405-1412,共8页Lian Zhong YANG Hong Xun YI; This work is supported by the NNSF of China(No.10371065);the NSF of Shandong Province,China(No.Z2002A01); In this paper, we prove several results concerning meromorphic functions f and g of hyperorder less than one such that f^（j） and g^（j） have the same zeros and poles for j=0, 1, 2. We provide some examples to show ...; 关键词：meromorphic functions UNIQUENESS sharing values

MEROMORPHIC_FUNCTIONS