Results 11 to 20 of about 1,217 (112)

Some relations involving generalized Hurwitz-Lerch zeta function obtained by means of fractional derivatives with applications to Apostol-type polynomials [PDF]

Advances in Difference Equations, 2013
In this paper, we present three new expansion formulas for the generalized Hurwitz-Lerch zeta function. These expansions are obtained by using Taylor-like expansions involving fractional derivatives.
S. Gaboury
semanticscholar   +3 more sources

Certain Identities of a General Class of Hurwitz-Lerch Zeta Function of Two Variables

Earthline Journal of Mathematical Sciences, 2022
In this paper, we introduce a generalized double Hurwitz-Lerch Zeta function and then systematically investigate its properties and various integral representations.
Mushtaque Ahmed Pathan, H. Kumar, Roshni Sharma   +2 more
semanticscholar   +2 more sources

An Operator Defined on Hadamard Product Pertaining to Generalized Hurwitz-Lerch Zeta Function with Conical Section

Tuijin Jishu/Journal of Propulsion Technology, 2023
The author’s goal is to highlight the most recent developments in the research on the study of complex-valued functions as seen through an understanding of geometric function theory.
Ambrose Prabhu
semanticscholar   +2 more sources

On a Certain Extension of the Hurwitz-Lerch Zeta Function

Annals of the West University of Timisoara: Mathematics and Computer Science, 2014
Our purpose in this paper is to consider a generalized form of the extended Hurwitz-Lerch Zeta function. For this extended Hurwitz-Lerch Zeta function, we obtain some classical properties which includes various integral representations, a differential ...
Parmar Rakesh K., Raina R. K.
doaj   +2 more sources

A New Family of the λ -Generalized Hurwitz-Lerch Zeta Functions with Applications [PDF]

Applied Mathematics & Information Sciences, 2014
Motivated largely by a number of recent investigations, we introduce and investigate the various properties of a certain new family of the λ -generalized Hurwitz-Lerch zeta functions. We derive many potentially useful results involving these λ -generalized Hurwitz-Lerch zeta functions including (for example) their partial differ ential equations, new ...
H. Srivastava
semanticscholar   +2 more sources

New Results Involving a Class of Generalized Hurwitz- Lerch Zeta Functions and Their Applications [PDF]

Turkish Journal of Analysis and Number Theory, 2013
In this paper, we study a certain class of generalized Hurwitz-Lerch zeta functions. We derive several new and useful properties of these generalized Hurwitz-Lerch zeta functions such as (for example) their partial differential equations, new series and ...
H. Srivastava, M. Luo, R. K. Raina
semanticscholar   +2 more sources

New results for generalized Hurwitz-Lerch Zeta functions using Laplace transform

International Journal of Mathematics and Computer in Engineering
Fractional Kinetic equations (FKEs) including a wide variety of special functions are widely and successfully applied in describing and solving many important problems of physics and astrophysics.
Oguz Yagci, R. Sahin, K. Nisar
semanticscholar   +2 more sources

New Relations Involving an Extended Multiparameter Hurwitz-Lerch Zeta Function with Applications

International Journal of Analysis, Volume 2014, Issue 1, 2014., 2014
We derive several new expansion formulas involving an extended multiparameter Hurwitz-Lerch zeta function introduced and studied recently by Srivastava et al. (2011).
H. Srivastava, S. Gaboury, R. Tremblay
semanticscholar   +2 more sources

New Expansion Formulas for a Family of theλ-Generalized Hurwitz-Lerch Zeta Functions

International Journal of Mathematics and Mathematical Sciences, 2014
We derive several new expansion formulas for a new family of theλ-generalized Hurwitz-Lerch zeta functions which were introduced by Srivastava (2014). These expansion formulas are obtained by making use of some important fractional calculus theorems such as the generalized Leibniz rules, the Taylor-like expansions in terms of different functions, and ...
H. M. Srivastava, Sébastien Gaboury
openaire   +3 more sources

CERTAIN RESULTS OF GENERALIZED BARNES TYPE DOUBLE SERIES RELATED TO THE HURWITZ-LERCH ZETA FUNCTIONS OF TWO VARIABLES

jnanabha, 2022
In these researches we introduce a generalized Barnes type double series and then, discuss its convergent conditions. We obtain some of its results related to the known and new Hurwitz -Lerch zeta function of two variables and also derive Eulerian and ...
H. Kumar
semanticscholar   +2 more sources