Naslov
Extended Srivastava's triple hypergeometric H_{;;A, p, q};; function and related bounding inequalities

Autori
Parmar, Rakesh ; Poganj, Tibor

Izvornik
Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences (1068-3623) 52 (2017), 6; 261-272

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
$(p ; q)$-extended Beta function ; $(p ; q)$-extended hypergeometric function ; Extended Appell function ; Mellin transforms ; ; Laguerre polynomial ; Recurrence relation ; Bounding inequality ; Luke's bounds for hypergeometric functions

Sažetak
Motivated by certain recent extensions of the Euler's beta, Gauss's hypergeometric and confluent hypergeometric functions [4], we extend Srivastava's triple hypergeometric function $H_{; ; ; A}; ; ; $ by making use of two additional parameters in the integrand. Systematic investigation of its properties, among others various integral representations of Euler and Laplace type, Mellin transforms, Laguerre polynomial representation, transformation formulae and a recurrence relation follow. Also, by virtue of Luke's bounds for hypergeometric functions and various bounds upon the Bessel functions appearing in the kernels of the newly established integral representations we deduce a set of bounding inequalities for the extended Srivastava's triple hypergeometric function $H_{; ; ; A, p, q}; ; ; $.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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