Abstract

SAXENA, R.K; YADAV, R.K; PUROHIT, S.D  and  KALLA, S.L. Kober fractional q-integral operator of the basic analogue of the H-functionOperador q-integral fraccional Kober de la análoga básica de la función H . Rev. Téc. Ing. Univ. Zulia [online]. 2005, vol.28, n.2, pp.154-158. ISSN 0254-0770.

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 G_q(.);E_q(.); the basic elementary functions and the basic Bessel functions such as J_v(x; q); Y_v(x; q); K_v(x; q); H_v(x; q), are deduced as the special cases of the main results.

Keywords : Kober fractional q-integral operator; basic integration; basic analogue of Fox’s H-function; basic Bessel functions.