A CERTAIN SUBCLASS OF UNIVALENT MEROMORPHIC FUNCTIONS DEFINED BY A LINEAR OPERATOR ASSOCIATED WITH THE HURWITZ-LERCH ZETA FUNCTION

被引：9

作者：

Ghanim, Firas ^{[1
]}

Al-Janaby, Hiba F. ^{[2
]}

机构：

[1] Univ Sharjah, Coll Sci, Dept Math, Sharjah, U Arab Emirates

[2] Univ Baghdad, Coll Sci, Dept Math, Baghdad, Iraq

来源：

RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI | 2019年 / 23卷 / 538期

关键词：

Meromorphic functions; zeta functions; linear operators; Hadamard products; CONVEX;

D O I：

10.21857/ygjwrcjjxy

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a linear operator related to Hurwitz-Lerch zeta function and hypergeometric function in the punctured unit disk. A certain subclass of meromorphically univalent functions associated with the above operator defined by the concept of subordination is also introduced, and its characteristic properties are studied.

引用

页码：71 / 83

页数：13

共 50 条

[21] Strong Differential Subordination and Superordination for Multivalently Meromorphic Functions Involving the Hurwitz-Lerch Zeta Function
Soni, Amit
Kant, Shashi
Prajapat, J. K.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2015, 85 (03) : 385 - 393
[22] On extended Hurwitz-Lerch zeta function
Luo, Min-Jie
Parmar, Rakesh Kumar
Raina, Ravinder Krishna
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 448 (02) : 1281 - 1304
[23] On the Hurwitz-Lerch zeta-function
Kanemitsu S.
Katsurada M.
Yoshimoto M.
aequationes mathematicae, 2000, 59 (1) : 1 - 19
[24] Remark on the Hurwitz-Lerch zeta function
Junesang Choi
Fixed Point Theory and Applications, 2013
[25] A generalization of the Hurwitz-Lerch Zeta function
Choi, Junesang
Jang, Douk Soo
Srivastava, H. M.
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2008, 19 (01) : 65 - 79
[26] Real zeros of Hurwitz-Lerch zeta and Hurwitz-Lerch type of Euler-Zagier double zeta functions
Nakamura, Takashi
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2016, 160 (01) : 39 - 50
[27] Subordination Properties of Meromorphic Kummer Function Correlated with Hurwitz-Lerch Zeta-Function
Ghanim, Firas
Al-Shaqsi, Khalifa
Darus, Maslina
Al-Janaby, Hiba Fawzi
MATHEMATICS, 2021, 9 (02) : 1 - 10
[28] Asymptotic expansions of the Hurwitz-Lerch zeta function
Ferreira, C
López, JL
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 298 (01) : 210 - 224
[29] A Series Representation for the Hurwitz-Lerch Zeta Function
Reynolds, Robert
Stauffer, Allan
AXIOMS, 2021, 10 (04)
[30] A note on extended Hurwitz-Lerch Zeta function
Ghayasuddin, M.
Khan, N. U.
Khan, Waseem A.
Ahmad, Moin
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, (49): : 82 - 89

← 1 2 3 4 5 →