A note on extended Hurwitz-Lerch Zeta function

被引：0

作者：

Ghayasuddin, M. ^{[1
]}

Khan, N. U. ^{[2
]}

Khan, Waseem A. ^{[3
]}

Ahmad, Moin ^{[4
]}

机构：

[1] Integral Univ, Fac Sci, Dept Math, Lucknow 226026, India

[2] Aligarh Muslim Univ, Fac Engn & Technol, Dept Appl Math, Aligarh 202002, India

[3] Prince Mohammad Bin Fahd Univ, Dept Math & Nat Sci, POB 1664, Al Khobar 31952, Saudi Arabia

[4] Shree Krishna Educ Inst, Dept Math, Sitapur 261125, India

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2023年 / 49期

关键词：

Generalized Hurwitz-Lerch Zeta function; extended beta function; ex-tended hypergeometric function; Mellin transform; GAMMA; BETA;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present research note, we introduce another extension of Hurwitz -Lerch Zeta function (HLZF) by using the generalized extended Beta function defined by Parmar [7]. We investigate its integral representations, Mellin transform, generating relations and differential formula. In view of diverse applications of the Hurwitz-Lerch Zeta functions, the results presented here are potentially useful in some other related research areas.

引用

页码：82 / 89

页数：8

共 50 条

[11] Asymptotic expansions of the Hurwitz-Lerch zeta function
Ferreira, C
López, JL
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 298 (01) : 210 - 224
[12] A Series Representation for the Hurwitz-Lerch Zeta Function
Reynolds, Robert
Stauffer, Allan
AXIOMS, 2021, 10 (04)
[13] Analytical properties of the Hurwitz-Lerch zeta function
Nadeem, Raghib
Usman, Talha
Nisar, Kottakkaran Sooppy
Baleanu, Dumitru
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[14] Further Generalization of the Extended Hurwitz-Lerch Zeta Functions
Parmar, Rakesh K.
Choi, Junesang
Purohit, Sunil Dutt
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2019, 37 (01): : 177 - 190
[15] Hurwitz-Lerch zeta and Hurwitz-Lerch type of Euler-Zagier double zeta distributions
Nakamura, Takashi
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2016, 19 (04)
[16] CERTAIN NEW EXTENSION OF HURWITZ-LERCH ZETA FUNCTION
Khan, Waseem A.
Ghayasuddin, M.
Ahmad, Moin
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2019, 37 (1-2): : 13 - 21
[17] HYPERGEOMETRIC SERIES ASSOCIATED WITH THE HURWITZ-LERCH ZETA FUNCTION
Bin-Saad, M. G.
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2009, 78 (02): : 269 - 286
[18] New Relations Involving an Extended Multiparameter Hurwitz-Lerch Zeta Function with Applications
Srivastava, H. M.
Gaboury, Sebastien
Tremblay, Richard
INTERNATIONAL JOURNAL OF ANALYSIS, 2014,
[19] On a Hurwitz-Lerch zeta type function and its applications
Prajapat, J. K.
Raina, R. K.
Sokol, J.
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2013, 20 (05) : 803 - 820
[20] On Generalized Hurwitz-Lerch Zeta Distributions
Garg, Mridula
Jain, Kumkum
Kalla, S. L.
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2009, 4 (01): : 26 - 39

← 1 2 3 4 5 →