Euler Type Integrals and Integrals in Terms of Extended Beta Function

Abstract

We derive the evaluations of certain integrals of Euler type involving generalized hypergeometric series. Further, we establish a theorem on extended beta function, which provides evaluation of certain integrals in terms of extended beta function and certain special polynomials. The possibility of extending some of the derived results to multivariable case is also investigated.

On Some Inequalities for the Chaudhry-Zubair Extension of the Gamma Function

“…The Chaudhry-Zubair extension of the gamma function has attracted the attention of several researchers and it has be investigated in diverse ways (see [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], and the related references therein).…”