Some Properties of Generalized Srivastava’s Triple Hypergeometric Function HC,p,q(·)

• Published in: International journal of applied and computational mathematics Vol. 8; no. 4
• Main Authors: Dar, S. A., Kamarujjama, M., Daud, M.
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 2022; Springer Nature B.V
• Subjects: Applications of Mathematics; Applied mathematics; Computational mathematics; Computational Science and Engineering; Hypergeometric functions; Mathematical and Computational Physics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Mellin transforms; Nuclear Energy; Operations Research/Decision Theory; Original Paper; Polynomials; Theoretical; 33B15; Gauss hypergeometric function; Beta and Gamma functions; 33C45; Laguerre polynomials; Srivastava’s triple hypergeometric functions; 33C70; bounded inequality; 33C05
• ISSN: 2349-5103; 2199-5796
• DOI: 10.1007/s40819-022-01360-y

In this paper, we obtain a
(
p
,
q
)
-
generalization of Srivastava’s triple hypergeometric function
H
C
(
·
)
, along with its integral representations by using extended Beta function
B
p
,
q
(
x
,
y
)
introduced in 2014 by Choi et al. Also, we discuss some of its main fundamental properties such as the Mellin transform, derivative formula, recursive identity, and a bounded inequality. In addition, we obtain an integral form of
H
C
,
p
,
q
(
·
)
function involving Laguerre polynomials.