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 Inclusion Relationships for Certain Subclasses of Meromorphic Functions Defined by Using the Extended Multiplier Transformations

2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
R. M. El-Ashwah
Keyword(s):  
Integral Operator ◽  
Analytic Functions ◽  
Unit Disc ◽  
Meromorphic Functions ◽  
Hadamard Product ◽  
Operator Inclusion ◽  
Inclusion Properties

Let denote the class of analytic functions in the punctured unit disc . Set , and define in terms of the Hadamard product by . In this paper, we introduce several new subclasses of analytic functions defined by means of the operator Inclusion properties of these classes and some applications involving integral operator are also considered.

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 Inclusion Properties for Certain Subclasses of Analytic Functions Defined by a Linear Operator

2008 ◽  
Vol 2008 ◽  
pp. 1-8 ◽  
Author(s):  
Nak Eun Cho
Keyword(s):  
Linear Operator ◽  
Analytic Functions ◽  
Hadamard Product ◽  
Linear Operators ◽  
Inclusion Properties

The purpose of the present paper is to investigate some inclusion properties of certain subclasses of analytic functions associated with a family of linear operators, which are defined by means of the Hadamard product (or convolution). Some integral preserving properties are also considered.

scholarly journals New Result of Analytic Functions Related to Hurwitz Zeta Function

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
F. Ghanim ◽  
M. Darus
Keyword(s):  
Analytic Function ◽  
Linear Operator ◽  
Zeta Function ◽  
Analytic Functions ◽  
Hadamard Product ◽  
Hurwitz Zeta Function

By using a linear operator, we obtain some new results for a normalized analytic functionfdefined by means of the Hadamard product of Hurwitz zeta function. A class related to this function will be introduced and the properties will be discussed.

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.

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