Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables
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...
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| Series: | Mathematics |
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| Online Access: | http://www.mdpi.com/2227-7390/7/1/48 |
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doaj-5609df90461b4162846e5fb22f3a90a52020-11-24T23:38:47ZengMDPI AGMathematics2227-73902019-01-01714810.3390/math7010048math7010048Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two VariablesKottakkaran Sooppy Nisar0Department of Mathematics, College of Arts and Science-Wadi Aldawaser, Prince Sattam bin Abdulaziz University, 11991 Al-Kharj, Saudi ArabiaThe 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.http://www.mdpi.com/2227-7390/7/1/48gamma functionbeta functionhypergeometric functiongeneralized hurwitz-lerch zeta function |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kottakkaran Sooppy Nisar |
| spellingShingle |
Kottakkaran Sooppy Nisar Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables Mathematics gamma function beta function hypergeometric function generalized hurwitz-lerch zeta function |
| author_facet |
Kottakkaran Sooppy Nisar |
| author_sort |
Kottakkaran Sooppy Nisar |
| title |
Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables |
| title_short |
Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables |
| title_full |
Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables |
| title_fullStr |
Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables |
| title_full_unstemmed |
Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables |
| title_sort |
further extension of the generalized hurwitz-lerch zeta function of two variables |
| publisher |
MDPI AG |
| series |
Mathematics |
| issn |
2227-7390 |
| publishDate |
2019-01-01 |
| description |
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. |
| topic |
gamma function beta function hypergeometric function generalized hurwitz-lerch zeta function |
| url |
http://www.mdpi.com/2227-7390/7/1/48 |
| work_keys_str_mv |
AT kottakkaransooppynisar furtherextensionofthegeneralizedhurwitzlerchzetafunctionoftwovariables |
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1725515768274092032 |