scholarly journals A certain subclass of univalent meromorphic functions defined by a linear operator associated with the Hurwitz-Lerch zeta function

2019 ◽  
Vol Knj. 538, 58 (Sv. 23) ◽  
pp. 71-83 ◽  
Author(s):  
Firas Ghanim ◽  
Hiba F. Al-Janaby
Keyword(s):  
Linear Operator ◽  
Zeta Function ◽  
Meromorphic Functions ◽  
Lerch Zeta Function

Inclusion properties of certain subclass of univalent meromorphic functions defined by a linear operator associated with Hurwitz–Lerch zeta function

2017 ◽  
Vol 10 (04) ◽  
pp. 1750066
Author(s):  
F. Ghanim ◽  
R. M. El-Ashwah
Keyword(s):  
Linear Operator ◽  
Zeta Function ◽  
Unit Disc ◽  
Meromorphic Functions ◽  
Hadamard Product ◽  
Inclusion Properties ◽  
Lerch Zeta Function

By using a linear operator associated with the Hurwitz–Lerch zeta function, which is defined here by means of the Hadamard product (or convolution), the authors introduce and investigate certain inclusion relationships of certain subclass of univalent meromorphic functions defined in the punctured unit disc.

scholarly journals Certain Integral Operator Related to the Hurwitz–Lerch Zeta Function

2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Xiao-Yuan Wang ◽  
Lei Shi ◽  
Zhi-Ren Wang
Keyword(s):  
Integral Operator ◽  
Zeta Function ◽  
Meromorphic Functions ◽  
Third Order ◽  
Lerch Zeta Function ◽  
Sandwich Type ◽  
Differential Superordination ◽  
Differential Subordinations

The aim of the present paper is to investigate several third-order differential subordinations, differential superordination properties, and sandwich-type theorems of an integral operator Ws,bf(z) involving the Hurwitz–Lerch Zeta function. We make some applications of the operator Ws,bf(z) for meromorphic functions.

scholarly journals Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function

2015 ◽  
Vol 1 (1) ◽  
pp. 38-50 ◽  
Author(s):  
H. M. Srivastava ◽  
S. Gaboury ◽  
F. Ghanim
Keyword(s):  
Zeta Function ◽  
Unit Disk ◽  
Meromorphic Functions ◽  
Sufficient Conditions ◽  
Partial Sums ◽  
Its Sequence ◽  
Lerch Zeta Function

Abstract In the present paper, we give sufficient conditions for a function f to be in the subclasses ΣS*a,s (A. B, α, β) and ΣKa,s (A, B, α, β) of the class Σ of meromorphic functions which are analytic in the punctured unit disk U*. We further investigate the ratio of a function related to the Hurwitz-Lerch zeta function and its sequence of partial sums.

scholarly journals An integrodifferential operator for meromorphic functions associated with the Hurwitz-Lerch zeta function

Filomat ◽  
2016 ◽  
Vol 30 (7) ◽  
pp. 2045-2057 ◽  
Author(s):  
Adel Attiya ◽  
Sang Kwon ◽  
Park Hyang ◽  
Nak Cho
Keyword(s):  
Zeta Function ◽  
Meromorphic Functions ◽  
Differential Subordination ◽  
Open Disk ◽  
Third Order ◽  
The Third ◽  
Integrodifferential Operator ◽  
Lerch Zeta Function ◽  
Differential Subordination And Superordination ◽  
Admissible Functions

In this paper, we introduce a new integrodifferential operator associated with the Hurwitz Lerch Zeta function in the puncture open disk of the meromorphic functions. We also obtain some properties of the third-order differential subordination and superordination for this integrodifferential operator, by using certain classes of admissible functions.

scholarly journals Two-sided inequalities for the extended Hurwitz–Lerch Zeta function

2011 ◽  
Vol 62 (1) ◽  
pp. 516-522 ◽  
Author(s):  
H.M. Srivastava ◽  
Dragana Jankov ◽  
Tibor K. Pogány ◽  
R.K. Saxena
Keyword(s):  
Zeta Function ◽  
Lerch Zeta Function
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