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 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 Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
K. AL-Shaqsi
Keyword(s):  
Integral Operator ◽  
Univalent Functions ◽  
Differential Subordination ◽  
Open Unit ◽  
Polylogarithm Function ◽  
Sandwich Type ◽  
Differential Subordination And Superordination ◽  
Strong Differential Subordination ◽  
Differential Subordinations ◽  
Admissible Functions

By using the polylogarithm function, a new integral operator is introduced. Strong differential subordination and superordination properties are determined for some families of univalent functions in the open unit disk which are associated with new integral operator by investigating appropriate classes of admissible functions. New strong differential sandwich-type results are also obtained.

scholarly journals Third-order differential sandwich-type results involving the Liu-Owa integral operator

2018 ◽  
Vol 18 (01) ◽  
pp. 115-131
Author(s):  
Huo Tang ◽  
M. K. Aouf ◽  
Shigeyoshi Owa ◽  
Shu-Hai Li
Keyword(s):  
Integral Operator ◽  
Third Order ◽  
Sandwich Type

scholarly journals Differential Subordinations and Superordinations of Certain Meromorphic Functions associated with an Integral Operator

2015 ◽  
Vol 55 (3) ◽  
pp. 625-639 ◽  
Author(s):  
HANAN ELSAYED DARWISH ◽  
ABD AL-MONEM YOUSOF LASHIN ◽  
SOLIMAN MOHAMMED SOILEH
Keyword(s):  
Integral Operator ◽  
Meromorphic Functions ◽  
Differential Subordinations

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 Partial Sums For Class Of Analytic Functions Defined By Integral Operator

2014 ◽  
Vol 8 (4) ◽  
Author(s):  
Nagat. M. Mustafa ◽  
Maslina Darus
Keyword(s):  
Integral Operator ◽  
Zeta Function ◽  
Analytic Functions ◽  
Partial Sums ◽  
Its Sequence ◽  
Coefficient Estimates ◽  
Lerch Zeta Function

In the present paper, we study the class of analytic functions involving generalized integral operator, which is defined by means of a general Hurwitz Lerch Zeta function denoted by ,()sbfzαℑwith negative coefficients. The aim of the paper is to obtain the coefficient estimates and also partial sums of its sequence ,()

scholarly journals Differential Sandwich-Type Results for Symmetric Functions Connected with a Q-Analog Integral Operator

Mathematics ◽  
2019 ◽  
Vol 7 (12) ◽  
pp. 1185 ◽  
Author(s):  
Sheza M. El-Deeb ◽  
Teodor Bulboacă
Keyword(s):  
Integral Operator ◽  
Symmetric Functions ◽  
Differential Subordination ◽  
Sandwich Type ◽  
Differential Superordination

In this paper, we obtain some applications of the theory of differential subordination, differential superordination, and sandwich-type results for some subclasses of symmetric functions connected with a q-analog integral operator.

scholarly journals Applications of third order differential subordination and superordination involving generalized struve function

Filomat ◽  
2019 ◽  
Vol 33 (10) ◽  
pp. 3047-3059 ◽  
Author(s):  
Priyabrat Gochhayat ◽  
Anuja Prajapati
Keyword(s):  
Linear Operator ◽  
Analytic Functions ◽  
Differential Subordination ◽  
Third Order ◽  
The Third ◽  
Sandwich Type ◽  
Differential Subordination And Superordination ◽  
Struve Functions ◽  
Differential Subordinations ◽  
Admissible Functions

In the present paper, by making use of the linear operator associated with generalized Struve functions suitable classes of admissible functions are investigated and the dual properties of the third-order differential subordinations are presented. As a consequence, various sandwich-type results are established for a class of univalent analytic functions involving generalized Struve functions. Relevant connections of the new results presented here with those that were considered in earlier works are pointed out.

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