Geodesic
Certain integral formulas involving products of two incomplete beta functions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 1, pp. 5-13

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The aim of this paper is to obtain some integral formulas involving products of two incomplete beta functions in terms of general triple hypergeometric series and Kampé de Fériet function. Some new particular integral formulas involving the incomplete beta function are also calculated as an application of our main results with the help of Whipple, Dixon and extension of Dixon summation theorems.
Keywords: incomplete beta function, Integral formulas, Kampé de Fériet function, General triple hypergeometric series. 
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     title = {Certain integral formulas involving products of two incomplete beta functions},
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     number = {1},
     year = {2025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2025_18_1_a0/}
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Ahmed Ali Atash. Certain integral formulas involving products of two incomplete beta functions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 1, pp. 5-13. http://geodesic.mathdoc.fr/item/JSFU_2025_18_1_a0/