Kober fractional q-integral operator of the basic analogue of the H-function

• R.K. Saxena Jai Narain Vyas University-India
• R.K. Yadav Jai Narain Vyas University-India
• S.D. Purohit Jai Narain Vyas University-India
• S.L. Kalla Department of Mathematics and Computer Science-Kuwait

Abstract

This paper deals with the derivation of the Kober fractional q-integral operator of the basic analogue of the H-function defined by Saxena, Modi and Kalla [Rev. Téc. Ing., Univ. Zulia. 6(1983), 139-143]. Several interesting results .involving Gq(.);Eq(.); the basic elementary functions and the basic Bessel functions such as Jv(x; q); Yv(x; q); Kv(x; q); Hv(x; q), are deduced as the special cases of the main results.