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ON CERTAIN CLASS OF MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS
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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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Some Properties for New Subclass of Analytic Functions 被引量:1
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作者 TANG Huo LI Shu-hai +1 位作者 DENG Guan-tie MA Li-na 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第2期261-268,共8页
A new subclass A(β1 , β2 , ··· , βk ; λ) of analytic functions f(z) in the open unit disk U is introduced and studied. We provide coefficient inequalities, distortion theorems, extreme points and ra... A new subclass A(β1 , β2 , ··· , βk ; λ) of analytic functions f(z) in the open unit disk U is introduced and studied. We provide coefficient inequalities, distortion theorems, extreme points and radius of close-to-convexity, starlikeness and convexity of this class. 展开更多
关键词 analytic functions coefficient inequalities distortion inequalities extreme points RADIUS
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Some Basic Properties for Certain Classes of p-valent Analytic Functions Using Differential Operator 被引量:1
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作者 ZHANG Hai- Yan TANG Huo +1 位作者 LI Shu-Hai MA Li-Na 《Chinese Quarterly Journal of Mathematics》 2018年第2期132-139,共8页
In this paper, we introduce new subclasses of p-valent analytic functions defined by using differential operator in the open unit disc. We study coefficient inequality, distortion theorem, radius of close to-convexity... In this paper, we introduce new subclasses of p-valent analytic functions defined by using differential operator in the open unit disc. We study coefficient inequality, distortion theorem, radius of close to-convexity, starlikeness and convexity, extreme points and integral operator for functions in these new subclasses. 展开更多
关键词 p-valent functions Differential operator coefficient inequality Distortion theorem RADIUS
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The Coefficient Inequalities for a Class of Holomorphic Mappings in Several Complex Variables
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作者 Qinghua XU Taishun LIU Xiaosong LIU 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2020年第1期37-48,共12页
The authors establish the coefficient inequalities for a class of holomorphic mappings on the unit ball in a complex Banach space or on the unit polydisk in C^n,which are natural extensions to higher dimensions of som... The authors establish the coefficient inequalities for a class of holomorphic mappings on the unit ball in a complex Banach space or on the unit polydisk in C^n,which are natural extensions to higher dimensions of some Fekete and Szego inequalities for subclasses of the normalized univalent functions in the unit disk. 展开更多
关键词 coefficient inequality Fekete-Szego problem Quasi-convex mappings
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A New Class of Generalized Close-to-Starlike Functions Defined by the Srivastava-Attiya Operator 被引量:1
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作者 H.M.SRIVASTAVA Dorina RADUCANU Grigore S.SLGEAN 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第5期833-840,共8页
In this paper, we consider a new class CS*s,b of generalized close-to-starlike functions, which is defined by means of the Srivastava-Attiya operator Js,b involving the Hurwitz-Lerch Zeta function φ(z, s, a). Basi... In this paper, we consider a new class CS*s,b of generalized close-to-starlike functions, which is defined by means of the Srivastava-Attiya operator Js,b involving the Hurwitz-Lerch Zeta function φ(z, s, a). Basic results such as inclusion relations, coefficient inequalities and other interesting properties of this class are investigated. Relevant connections of some of the results presented here with those that were obtained in earlier investigations are pointed out briefly. 展开更多
关键词 Analytic functions starlike functions convex functions close-to-starlike functions Srivastava-Attiya operator inclusion results coefficient bounds coefficient inequalities hadamard product (or convolution)
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