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The uniqueness of meromorphic functions and their derivatives in the unit disc that share values in an angular domain 认领 引用
1
作者 TAN Yang 《纯粹数学与应用数学》 2026年第1期59-77,共19页
In this paper,we investigate the uniqueness of meromorphic functions and their derivatives in the unit disc and consider the relations between the Borel points and the shared-values of meromorphic functions in an angu... In this paper,we investigate the uniqueness of meromorphic functions and their derivatives in the unit disc and consider the relations between the Borel points and the shared-values of meromorphic functions in an angular domain by Nevanlinna value distribution theory.An admissible meromorphic function with orde or precise order has Borel point and shares IM common values with its derivative in an angular domain of the unit disc,then the meromorphic function and its derivative are unique.The obtained results improve and generalize some existing results and enrich the uniqueness theory of meromorphic functions. 展开更多
关键词 meromorphic function admissible uniqueness angular domain
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Uniqueness Results for Meromorphic Functions Involving Differential-Difference Polynomials and Shared Values 认领 引用
2
作者 Hongyan XU Rana MONDAL Imrul KAISH 《Journal of Mathematical Research with Applications》 CSCD 2025年第3期304-328,共25页
Throughout this work,we explore the uniqueness properties of meromorphic functions concerning their interactions with complex differential-difference polynomial.Under the condition of finite order,we establish three d... Throughout this work,we explore the uniqueness properties of meromorphic functions concerning their interactions with complex differential-difference polynomial.Under the condition of finite order,we establish three distinct uniqueness results for a meromorphic function f associated with the differential-difference polynomial Lηnf=Σk=0nakf (z+kη)+a-1f′.These results lead to a refined characterization of f (z)≡Lηnf (z).Several illustrative examples are provided to demonstrate the sharpness and precision of the results obtained in this study. 展开更多
关键词 meromorphic function differential-difference polynomials Nevanlinna theory uniqueness value sharing
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UNIQUENESS OF MEROMORPHIC FUNCTIONS WHOSE NONLINEAR DIFFERENTIAL POLYNOMIALS SHARE ONE VALUE OR HAVE THE SAME FIXED POINTS IN AN ANGULAR DOMAIN 认领 引用 被引量：1
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作者 李效敏 仪洪勋 《Acta Mathematica Scientia》 SCIE CSCD 2014年第3期593-609,共17页
In this article, we study the uniqueness question of nonconstant meromorphic functions whose nonlinear differential polynomials share 1 or have the same fixed points in an angular domain. The results in this article i... In this article, we study the uniqueness question of nonconstant meromorphic functions whose nonlinear differential polynomials share 1 or have the same fixed points in an angular domain. The results in this article improve Theorem 1 of Yang and Hua [26], and improve Theorem 1 of Fang and Qiu [6]. 展开更多
关键词 Meromorphic functions shared values singular directions uniqueness theo-reins in the angular domain
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The Deficiency and Nevanlinna Direction of the Meromorphic Functions *L 认领 引用 被引量：1
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作者 张学莲 《Journal of Beijing Institute of Technology》 EI CAS 1999年第1期15-19,共5页
Aim To study the value distribution of meromorphic functions in angular domains, the deficiency, the deficient value, the Nevanlinna direction and other singular directions. Methods A fundamental inequality of Nevanli... Aim To study the value distribution of meromorphic functions in angular domains, the deficiency, the deficient value, the Nevanlinna direction and other singular directions. Methods A fundamental inequality of Nevanlinna characteristic functions in the angular domain was used, which is similar with the Nevanlinna secondary fundamental theorem. Results The deficiency and deficient value of meromorphic functions about an angular domain and a direction were defined. The definition of Nevanlinna direction was improved. Conclusion For a family of meromorphic functions, it is proved that the number of deficient values is at most countable and the sum of deficiencies isnt greater than 2. The existence of the Nevanlinna direction is obtained. The existence of Borel and Julia directions and the relation between them are found. 展开更多
关键词 meromorphic functions deficiency deficient value Nevanlinna direction sigular direction
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QUASIPERIODICITY OF TRANSCENDENTAL MEROMORPHIC FUNCTIONS 认领 引用
5
作者 刘新玲 刘凯 +1 位作者 Risto KORHONEN Galina FILIPUK 《Acta Mathematica Scientia》 SCIE CSCD 2024年第1期161-172,共12页
This paper is devoted to considering the quasiperiodicity of complex differential polynomials,complex difference polynomials and complex delay-differential polynomials of certain types,and to studying the similarities... This paper is devoted to considering the quasiperiodicity of complex differential polynomials,complex difference polynomials and complex delay-differential polynomials of certain types,and to studying the similarities and differences of quasiperiodicity compared to the corresponding properties of periodicity. 展开更多
关键词 quasiperiodicity meromorphic functions complex delay-differential polynomials Nevanlinna theory
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UNIQUENESS OF DIFFERENCE POLYNOMIALS OF MEROMORPHIC FUNCTIONS 认领 引用
6
作者 刘永 祁晓光 《Acta Mathematica Scientia》 SCIE CSCD 2014年第2期444-452,共9页
In this article, we investigate the uniqueness problems of difference polynomials of meromorphic functions and obtain some results which can be viewed as discrete analogues of the results given by Shibazaki. Some exam... In this article, we investigate the uniqueness problems of difference polynomials of meromorphic functions and obtain some results which can be viewed as discrete analogues of the results given by Shibazaki. Some examples are given to show the results in this article are best possible. 展开更多
关键词 Meromorphic functions difference polynomials uniqueness finite order
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MEROMORPHIC FUNCTIONS WITH BOUNDED BOUNDARY ROTATION 认领 引用
7
作者 Jacek DZIOK 《Acta Mathematica Scientia》 SCIE CSCD 2014年第2期466-472,共7页
In this article, we generalize the class of meromorphic functions with bounded boundary rotation and related classes. Characterizations and some properties of these classes of functions are given.
关键词 Meromorphic functions bounded variation bounded boundary rotation
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T-AND HAYMAN T-POINTS OF MEROMORPHIC FUNCTIONS FOR SMALL FUNCTIONS IN THE UNIT DISK 认领 引用 被引量：4
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作者 吴楠 郑建华 《Acta Mathematica Scientia》 SCIE CSCD 2012年第4期1662-1674,共13页
In this article, we consider the singular points of meromorphic functions in the unit disk. We prove the second fundamental theorem for the Ahlfors-Shimizu＇s characteristic in the unit disk in terms of Nevanlinna the... In this article, we consider the singular points of meromorphic functions in the unit disk. We prove the second fundamental theorem for the Ahlfors-Shimizu＇s characteristic in the unit disk in terms of Nevanlinna theory in the angular domains, and obtain the existence of T-points and Hayman T-points dealing with small functions as target. 展开更多
关键词 meromorphic functions small functions T-points, Hayman T-points secondfundamental theorem
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ZEROS AND FIXED POINTS OF DIFFERENCE OPERATORS OF MEROMORPHIC FUNCTIONS 认领 引用 被引量：2
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作者 崔巍巍 杨连忠 《Acta Mathematica Scientia》 SCIE CSCD 2013年第3期773-780,共8页
Let f be a transcendental meromorphic function and △f（z） = f（z ＋ 1） -- f（z） A number of results are proved concerning the existences of zeros and fixed points of Af（z） and △f（z）/f（z） when f（z） is of o... Let f be a transcendental meromorphic function and △f（z） = f（z ＋ 1） -- f（z） A number of results are proved concerning the existences of zeros and fixed points of Af（z） and △f（z）/f（z） when f（z） is of order σ（f）=1. Examples show that some of the results are sharp. 展开更多
关键词 Entire functions meromorphic functions complex difference fixed points Zeros
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Some Properties of Certain Subclasses of p-Valent Meromorphic Functions Associated with Quasi-Subordination 认领 引用 被引量：1
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作者 Aoen Shuhai LI +1 位作者 Huo TANG Siqinqimuge 《Journal of Mathematical Research with Applications》 CSCD 2018年第2期147-161,共15页
In this paper, we obtain the integral representations and the coefficient estimates for certain new subclasses ofp-valent meromorphic functions associated with quasi-subordination. Specially, we obtain the sharp estim... In this paper, we obtain the integral representations and the coefficient estimates for certain new subclasses ofp-valent meromorphic functions associated with quasi-subordination. Specially, we obtain the sharp estimates of Fekete-Szego inequality. 展开更多
关键词 analytic functions meromorphic functions quasi-subordination integral repre-sentation coefficient estimate Fekete-Szego inequality
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CLASSES OF MEROMORPHIC FUNCTIONS ASSOCIATED WITH CONIC REGIONS 认领 引用 被引量：2
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作者 J.Dziok 《Acta Mathematica Scientia》 SCIE CSCD 2012年第2期765-774,共10页
The object of this article is to introduce new classes of meromorphic functions associated with conic regions. Several properties like the coefficient bounds, growth and distortion theorems, radii of starlikeness and ... The object of this article is to introduce new classes of meromorphic functions associated with conic regions. Several properties like the coefficient bounds, growth and distortion theorems, radii of starlikeness and convexity, partial sums, are investigated. Some consequences of the main results for the well-known classes of meromorphic functions are also pointed out. 展开更多
关键词 Meromorphic functions conic regions varying argument subordination Hadamard product convolution
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SOME NORMALITY CRITERIA OF MEROMORPHIC FUNCTIONS 认领 引用 被引量：8
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作者 雷春林 方明亮 曾翠萍 《Acta Mathematica Scientia》 SCIE CSCD 2013年第6期1667-1674,共8页
Let F be a family of functions meromorphic in a domain D, let n ≥ 2 be a positive integer, and let a ≠ 0, b be two finite complex numbers. If, for each f ∈ F, all of whose zeros have multiplicity at least k ＋ 1, a... Let F be a family of functions meromorphic in a domain D, let n ≥ 2 be a positive integer, and let a ≠ 0, b be two finite complex numbers. If, for each f ∈ F, all of whose zeros have multiplicity at least k ＋ 1, and f ＋ a（f^（k））^n≠b in D, then F is normal in D. 展开更多
关键词 meromorphic function value distribution normal families
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NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS WITH SHARED VALUES 认领 引用 被引量：6
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作者 陈玮 田宏根 扈培础 《Acta Mathematica Scientia》 SCIE CSCD 2016年第1期87-93,共7页
We obtain some normality criteria of families of meromorphic functions sharing values related to Hayman conjecture, which improves some earlier related results.
关键词 meromorphic function shared value normal family
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Majorization Properties for Certain New Classes of Multivalent Meromorphic Functions Defined by Slgean Operator 认领 引用 被引量：1
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作者 Shuhai LI Lina MA 《Journal of Mathematical Research with Applications》 CSCD 2014年第3期316-322,共7页
In the present paper, we investigate the majorization property for certain new class of multivalent meromorphic analytic functions defined by Salagean operator. Moreover, we point out some new and interesting applicat... In the present paper, we investigate the majorization property for certain new class of multivalent meromorphic analytic functions defined by Salagean operator. Moreover, we point out some new and interesting applications of our main result to the other classes of multivalent meromorphic functions. 展开更多
关键词 analytic functions multivalent functions meromorphic functions subordination majorization property.
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NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS SHARING A HOLOMORPHIC FUNCTION AND THE CONVERSE OF THE BLOCH PRINCIPLE 认领 引用 被引量：7
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作者 姜云波 高宗升 《Acta Mathematica Scientia》 SCIE CSCD 2012年第4期1503-1512,共10页
In this paper, we investigate normal families of meromorphic functions, prove some theorems of normal families sharing a holomorphic function, and give a counterex- ample to the converse of the Bloch principle based o... In this paper, we investigate normal families of meromorphic functions, prove some theorems of normal families sharing a holomorphic function, and give a counterex- ample to the converse of the Bloch principle based on the theorems. 展开更多
关键词 meromorphic function holomorphic function shared function normal family Bloch principle
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ON UNIQUENESS OF MEROMORPHIC FUNCTIONS WITH SHARED-SETS IN AN ANGULAR DOMAIN 认领 引用 被引量：5
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作者 陈省江 林伟川 《Acta Mathematica Scientia》 SCIE CSCD 2011年第1期194-206,共13页
In this article, we deal with the uniqueness problems on meromorphic functions sharing two finite sets in an angular domain instead of the whole plane C. In particular, we investigate the uniqueness for meromorphic fu... In this article, we deal with the uniqueness problems on meromorphic functions sharing two finite sets in an angular domain instead of the whole plane C. In particular, we investigate the uniqueness for meromorphic functions of infinite order in an angular domain and obtain some results. Moreover, examples show that the conditions in theorems are necessary. 展开更多
关键词 Shared-set uniqueness meromorphic function angular domain infinite order
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MEROMORPHIC FUNCTIONS SHARING TWO FINITE SETS 认领 引用 被引量：5
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作者 林伟川 仪洪勋 《Acta Mathematica Scientia》 SCIE 2007年第4期845-851,共7页
Let S1 = {∞} and S2 = {ω ： Ps（ω） = 0}, Ps（ω） being a uniqueness polynomial under some restricted conditions. Then, for any given nonconstant meromorphic function f, there exist at most finitely many nonconsta... Let S1 = {∞} and S2 = {ω ： Ps（ω） = 0}, Ps（ω） being a uniqueness polynomial under some restricted conditions. Then, for any given nonconstant meromorphic function f, there exist at most finitely many nonconstant meromorphic functions g such that f^-1 （Si） = g^-1 （Si） （i = 1, 2）, where f^-1 （Si） and g^-1 （Si） denote the pull-backs of Si considered as a divisor, namely, the inverse images of Si counted with multiplicities, by f and g respectively. 展开更多
关键词 Meromorphic function uniqueness polynomial shared-set
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CHARACTERISTIC FUNCTION AND DEFICIENCY OF MEROMORPHIC FUNCTIONS IN THE PUNCTURED PLANE 认领 引用 被引量：2
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作者 吴昭君 陈生安 陈裕先 《Acta Mathematica Scientia》 SCIE CSCD 2015年第3期673-680,共8页
In this article, some facts of the value distribution theory for meromorphic func- tions with maximal deficiency sum in the plane will be considered in the punctured plane, and also the relationship between the defici... In this article, some facts of the value distribution theory for meromorphic func- tions with maximal deficiency sum in the plane will be considered in the punctured plane, and also the relationship between the deficiency of meromorphic function in the punctured plane and that of their derivatives is studied. 展开更多
关键词 Meromorphic function maximal deficiency sum punctured plane
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MEROMORPHIC FUNCTIONS THAT SHARE TWO SETS, Ⅱ 认领 引用 被引量：4
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作者 仪洪勋 吕巍然 《Acta Mathematica Scientia》 SCIE 2004年第1期83-90,共8页
This paper deals with the problem of uniqueness of meromorphic functions, and gets the following result: There exists a set S with 13 elements such that any two non-constant meromorphic functions / and g satisfying E(... This paper deals with the problem of uniqueness of meromorphic functions, and gets the following result: There exists a set S with 13 elements such that any two non-constant meromorphic functions / and g satisfying E(S,f) = E(S,g) and E({∞},f) = E({∞},g) must be identical. This is the best result on this question until now. 展开更多
关键词 Nevanlinna theory meromorphic function uniqueness theorem
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ON CERTAIN CLASS OF MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS 认领 引用
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作者 J.Dziok G.Murugusundaramoorthy J.Sokól 《Acta Mathematica Scientia》 SCIE CSCD 2012年第4期1376-1390,共15页
In the present investigation we define a new class of meromorphic functions on the punctured unit disk A△^＊ ：= {z ∈ C ： 0 〈 ｜z｜ 〈 1} by making use of the generalized Dziok-Srivastava operator Hm^l [α1]. Coef... In the present investigation we define a new class of meromorphic functions on the punctured unit disk A△^＊ ：= {z ∈ C ： 0 〈 ｜z｜ 〈 1} by making use of the generalized Dziok-Srivastava operator Hm^l [α1]. Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. We also establish some results concerning the partial sums of meromorphic functions and neighborhood results for functions in new class. 展开更多
关键词 meromorphic functions starlike function convolution positive coefficients coefficient inequalities Dziok-Srivastava operator
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