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 ,()

Certain classes of analytic functions defined by Hurwitz–Lerch zeta function

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Bolineni Venkateswarlu ◽  
Pinninti Thirupathi Reddy ◽  
Galla Swapna ◽  
Rompilli Madhuri Shilpa
Keyword(s):  
Zeta Function ◽  
Unit Disk ◽  
Analytic Functions ◽  
Partial Sums ◽  
Open Unit ◽  
Open Unit Disk ◽  
Coefficient Estimates ◽  
New Class ◽  
Lerch Zeta Function

Abstract In this work, we introduce and investigate a new class k - U ⁢ S ~ s ⁢ ( b , μ , γ , t ) {k-\widetilde{US}_{s}(b,\mu,\gamma,t)} of analytic functions in the open unit disk U with negative coefficients. The object of the present paper is to determine coefficient estimates, neighborhoods and partial sums for functions f belonging to this class.

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 of Generalized Class of Analytic Functions Involving Hurwitz-Lerch Zeta Function

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
G. Murugusundaramoorthy ◽  
K. Uma ◽  
M. Darus
Keyword(s):  
Analytic Function ◽  
Zeta Function ◽  
Lower Bounds ◽  
Analytic Functions ◽  
Partial Sums ◽  
Lerch Zeta Function

Letfn(z)=z+∑k=2nakzkbe the sequence of partial sums of the analytic functionf(z)=z+∑k=2∞akzk. In this paper, we determine sharp lower bounds forℜ{f(z)/fn(z)}, ℜ{fn(z)/f(z)}, ℜ{f′(z)/fn′(z)},andℜ{fn′(z)/f′(z)}. The usefulness of the main result not only provides the unification of the results discussed in the literature but also generates certain new results.

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 A New Class of Analytic Functions Defined by Using Salagean Operator

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
R. M. El-Ashwah ◽  
M. K. Aouf ◽  
A. A. M. Hassan ◽  
A. H. Hassan
Keyword(s):  
Analytic Functions ◽  
Extreme Points ◽  
Distortion Theorem ◽  
Partial Sums ◽  
Coefficient Estimates ◽  
Integral Means ◽  
New Class ◽  
Sălăgean Operator ◽  
Salagean Operator ◽  
Fractional Calculus Operators

We derive some results for a new class of analytic functions defined by using Salagean operator. We give some properties of functions in this class and obtain numerous sharp results including for example, coefficient estimates, distortion theorem, radii of star-likeness, convexity, close-to-convexity, extreme points, integral means inequalities, and partial sums of functions belonging to this class. Finally, we give an application involving certain fractional calculus operators that are also considered.

scholarly journals A New Subclass of Analytic Functions Related to Mittag-Leffler Type Poisson Distribution Series

2021 ◽  
Vol 2021 ◽  
pp. 1-7 ◽  
Author(s):  
Nazek Alessa ◽  
B. Venkateswarlu ◽  
P. Thirupathi Reddy ◽  
K. Loganathan ◽  
K. Tamilvanan
Keyword(s):  
Poisson Distribution ◽  
Analytic Functions ◽  
Partial Sums ◽  
Coefficient Estimates ◽  
Poisson Distribution Series

The object of this work is to an innovation of a class k − U ~ S T s ℏ , υ , τ , ι , ς in Y with negative coefficients, further determining coefficient estimates, neighborhoods, partial sums, convexity, and compactness of this specified class.

scholarly journals A new subclass of analytic functions defined by linear operator

2020 ◽  
pp. 205-217
Author(s):  
Santosh M. Popade ◽  
Rajkumar N. Ingle ◽  
P. Thirupathi Reddy ◽  
B. Venkateswarlu
Keyword(s):  
Linear Operator ◽  
Analytic Functions ◽  
Unit Disc ◽  
Partial Sums ◽  
Open Unit ◽  
Coefficient Estimates ◽  
Open Unit Disc ◽  
New Class

In this work, we introduce and investigate a new class $ k- \widetilde{ U}S_s ( a, c , \gamma , t)$ of analytic functions in the open unit disc $U$ with negative coefficients. The object of the present paper is to determine coefficient estimates, neighborhoods and partial sums for functions $f$ belonging to this class.

HANKEL DETERMINANT FOR CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS ASSOIATED WITH GENERALIZED SRIVASTAVA–ATTIYA OPERATOR

2020 ◽  
Vol 3 (1) ◽  
pp. 1-9
Author(s):  
Somaya Mohammed Alkabaily ◽  
Nagat Muftah Alabbar
Keyword(s):  
Zeta Function ◽  
Upper Bound ◽  
Analytic Functions ◽  
Hankel Determinant ◽  
Lerch Zeta Function ◽  
Second Hankel Determinant

This paper is to introduce a certain class of analytic functions denoted by  which is defined by generalized Srivastava – Attiya operator. This operator is associated with Hurwitz-Lerch Zeta function, obtain an upper bound to the second Hankel determinant  for  the class .

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