RUS  ENG
Full version
JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2025 Volume 18, Issue 1, Pages 5–13 (Mi jsfu1216)

Certain integral formulas involving products of two incomplete beta functions

Ahmed Ali Atash

Department of Mathematics, Faculty of Education – Shabwah, Shabwah University, Yemen

Abstract: 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.

UDC: 517.5

Received: 10.08.2024
Received in revised form: 11.09.2024
Accepted: 24.10.2024

Language: English



© Steklov Math. Inst. of RAS, 2026