ON A NEW CLASS OF INTEGRALS INVOLVING GENERALIZEDHYPERGEOMETRIC FUNCTION4F3

Özet

Abstract.The main aim of this research paper is to evaluate a general integral of theform∫10xd−1(1−x)d+`[1 +αx+β(1−x)]−2d−`−1×4F3[a, b,2d+`+ 1, c12(a+b+i+ 1), d,2c+j;(1 +α)x1 +αx+β(1−x)]dxin the most general form for any`∈Zandi,j= 0,±1,±2. The results are establishedwith the help of generalized Watson’s summation theorem due to Lavoie,et al. Morethan fifty interesting general integrals have also been obtained as special cases of ourmain findings.