Some improper integrals with integration inﬁnity limit involving generalizad hypergeometric function 2R1(a, b; c; τ ; z)

In 1991 M. Dotsenko presented a generalization of the Gage hypergeometric function denoted by 2Rτ1 (z), also establishing both its serial representation and its integral representation. It is important to note that in 1999 Nina Virchenko and then, in 2003, Leda Galué considered this function, introd...