## Taiwanese Journal of Mathematics

### INTEGRAL REPRESENTATIONS FOR SRIVASTAVA’S TRIPLE HYPERGEOMETRIC FUNCTIONS

#### Abstract

While investigating the Lauricella's list of 14 complete second-order hypergeometric series in three variables, Srivastava noticed the existence of three additional complete triple hypergeometric series of the second order, which were denoted by $H_A$, $H_B$ and $H_C$. Each of these three triple hypergeometric functions $H_A$, $H_B$ and $H_C$ has been investigated extensively in many different ways including, for example, in the problem of finding their integral representations of one kind or the other. Here, in this paper, we aim at presenting further integral representations for each of Srivastava's triple hypergeometric functions $H_A$, $H_B$ and $H_C$.

#### Article information

Source
Taiwanese J. Math., Volume 15, Number 6 (2011), 2751-2762.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500406495

Digital Object Identifier
doi:10.11650/twjm/1500406495

Mathematical Reviews number (MathSciNet)
MR2896142

Zentralblatt MATH identifier
1250.33009

#### Citation

Choi, Junesang; Hasanov, Anvar; Srivastava, H. M.; Turaev, Mamasali. INTEGRAL REPRESENTATIONS FOR SRIVASTAVA’S TRIPLE HYPERGEOMETRIC FUNCTIONS. Taiwanese J. Math. 15 (2011), no. 6, 2751--2762. doi:10.11650/twjm/1500406495. https://projecteuclid.org/euclid.twjm/1500406495

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