Results 51 to 60 of about 111 (90)

Some general families of the Hurwitz-Lerch zeta functions and their applications: recent developments and directions for further researches

open access: yesProceedings of the Institute of Mathematics and Mechanics,National Academy of Sciences of Azerbaijan, 2019
openaire   +1 more source

On the new bicomplex generalization of Hurwitz–Lerch zeta function with properties and applications

Analysis (Germany), 2022
Abstract In the recent years, various authors introduced different generalizations of the Hurwitz–Lerch zeta function and discussed its various properties. The main aim of our study is to introduce a new bicomplex generalization of the Hurwitz–Lerch zeta function using the new generalized form of the beta function that involves the ...
Kottakkaran Sooppy Nisar
exaly   +3 more sources

Some expansion formulas for a class of generalized Hurwitz–Lerch Zeta functions

Integral Transforms and Special Functions, 2006
By making use of fractional calculus, the authors present a systematic investigation of expansion and transformation formulas for several general families of the Hurwitz–Lerch Zeta functions. Relevant connections of the results discussed here with those obtained in earlier works are also indicated precisely.
Hari M Srivastava, Shy-Der Lin
exaly   +2 more sources

Some relationships between the generalized Apostol–Bernoulli polynomials and Hurwitz–Lerch Zeta functions

Integral Transforms and Special Functions, 2006
The main object of this paper is to further investigate the generalized Apostol–Bernoulli polynomials of higher order, which were introduced and studied recently by Luo and Srivastava [2005, Journal of Mathematical Analysis and Applications, 308, 290–302; 2006, Computers and Mathematics with Applications, 51, 631–642]. Here, we first derive an explicit
Hari M Srivastava, Mridula Garg
exaly   +2 more sources

IDENTITIES OF A GENERAL MULTIPLE HURWITZ-LERCH ZETA FUNCTION AND APPLICATIONS

jnanabha, 2023
In this article we introduce a general multiple Hurwitz-Lerch Zeta function. Then its convergence conditions and identities are obtained under certain conditions. We also derive some of connections to the multiple Hurwitz-Lerch Zeta function based upon Srivastava-Daoust hypergeometric series in several variables and other related functions of one and ...
Chandel, R. C. Singh   +2 more
openaire   +1 more source

Some general Hurwitz-Lerch type Zeta functions associated with the Srivastava-Daoust multiple hypergeometric functions

Journal of Nonlinear and Variational Analysis, 2022
Summary: In this paper, we introduce and investigate various properties and relations involving some general families of double and multiple Hurwitz-Lerch type zeta functions which are associated with the Srivastava-Daoust class of hypergeometric functions in two and more variables.
Srivastava, H. M.   +2 more
openaire   +2 more sources

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