Integral representations for Srivastava's triple hypergeometric functions

DOI10.11650/twjm/1500406495zbMath1250.33009OpenAlexW1596648289MaRDI QIDQ449598

Mamasali Turaev, Anvar Hasanov, Junesang Choi, Hari M. Srivastava

Publication date: 31 August 2012

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://journal.taiwanmathsoc.org.tw/index.php/TJM/article/view/1459

zbMATH Keywords

Bessel functionsAppell functionsconfluent hypergeometric functionsmultiple hypergeometric functionsbeta and gamma functionsEulerian integralsExton's functionsGauss hypergeometric function \(_2F^1\)Humbert functionsLaplace integralsPicard's integral formulaSrivastava's triple hypergeometric functions \(H_A, H_B\) and \(H_C\)

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Generalized hypergeometric series, ({}_pF_q) (33C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65)

Related Items (14)

Relations between Lauricella's triple hypergeometric function \(F_A^{(3)}(x,y,z)\) and Exton's function \(X_8\) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some properties of generalized Srivastava's triple hypergeometric function \(H_{C,p,q}(\cdot )\) ⋮ On the \(q\)-analogues of Srivastava's triple hypergeometric functions ⋮ Certain integral representations involving hypergeometric functions in two variables ⋮ A \((p, q)\)-extension of Srivastava's triple hypergeometric function \(H_B\) and its properties ⋮ A \((p,\nu)\)-extension of Srivastava's triple hypergeometric function \(H_B\) and its properties ⋮ Unnamed Item ⋮ Some results on Srivastava’s triple hypergeometric matrix functions ⋮ A (p,ν)-extension of Srivastava’s triple hypergeometric function HC ⋮ Unnamed Item

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