Further extension of the generalized Hurwitz-Lerch zeta function of two variables

Kottakkaran Sooppy Nisar

doi:10.3390/math7010048

Further extension of the generalized Hurwitz-Lerch zeta function of two variables

Kottakkaran Sooppy Nisar

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The main aim of this paper is to provide a new generalization of Hurwitz-Lerch Zeta function of two variables. We also investigate several interesting properties such as integral representations, summation formula, and a connection with the generalized hypergeometric function. To strengthen the main results we also consider some important special cases.

Original language	English
Article number	48
Journal	Mathematics
Volume	7
Issue number	1
DOIs	https://doi.org/10.3390/math7010048
State	Published - 6 Jan 2019

Keywords

Beta function
Gamma function
Generalized hurwitz-lerch zeta function
Hypergeometric function

Access to Document

10.3390/math7010048

Cite this

@article{8844a4438af04fadb2890217717936f6,

title = "Further extension of the generalized Hurwitz-Lerch zeta function of two variables",

abstract = "The main aim of this paper is to provide a new generalization of Hurwitz-Lerch Zeta function of two variables. We also investigate several interesting properties such as integral representations, summation formula, and a connection with the generalized hypergeometric function. To strengthen the main results we also consider some important special cases.",

keywords = "Beta function, Gamma function, Generalized hurwitz-lerch zeta function, Hypergeometric function",

author = "Nisar, \{Kottakkaran Sooppy\}",

note = "Publisher Copyright: {\textcopyright} 2018 by the authors.",

year = "2019",

month = jan,

day = "6",

doi = "10.3390/math7010048",

language = "English",

volume = "7",

journal = "Mathematics",

issn = "2227-7390",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "1",

}

TY - JOUR

T1 - Further extension of the generalized Hurwitz-Lerch zeta function of two variables

AU - Nisar, Kottakkaran Sooppy

PY - 2019/1/6

Y1 - 2019/1/6

N2 - The main aim of this paper is to provide a new generalization of Hurwitz-Lerch Zeta function of two variables. We also investigate several interesting properties such as integral representations, summation formula, and a connection with the generalized hypergeometric function. To strengthen the main results we also consider some important special cases.

AB - The main aim of this paper is to provide a new generalization of Hurwitz-Lerch Zeta function of two variables. We also investigate several interesting properties such as integral representations, summation formula, and a connection with the generalized hypergeometric function. To strengthen the main results we also consider some important special cases.

KW - Beta function

KW - Gamma function

KW - Generalized hurwitz-lerch zeta function

KW - Hypergeometric function

UR - https://www.scopus.com/pages/publications/85059650223

U2 - 10.3390/math7010048

DO - 10.3390/math7010048

M3 - Article

AN - SCOPUS:85059650223

SN - 2227-7390

VL - 7

JO - Mathematics

JF - Mathematics

IS - 1

M1 - 48

ER -

Further extension of the generalized Hurwitz-Lerch zeta function of two variables

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this