Further results on generalized hypergeometric functions

摘要

Recently, Virchenko et al. [Integral Transform. and Spec. Funct. 12 (1) (2001) 89–100] have defined and studied a generalized hypergeometric function of the form2R1τ(a,b;c;τ;z)=Γ(c)Γ(b)Γ(c−b)∫01tb−1(1−t)c−b−1(1−ztτ)dt.The object of this paper is to obtain some more results involving this function and a generalized incomplete gamma function. Several special cases are mentioned.