%0 Journal Article
%T Kober fractional q-derivative operators
%A Mridula Garg
%A Lata Chanchlani
%J Le Matematiche
%D 2011
%I University of Catania
%X In the present paper, we define right and left sided Kober fractional q-derivative operators and show that these derivative operators are left inverse operators of Kober fractional q-integral operators. We obtain the images of generalized basic hypergeometric function and basic analogue of the H-function under these operators. We also deduce several interesting results involving q-analogues of some classical functions as special cases of our main findings.
%K Kober fractional q-integral operator
%K Kober fractional q-derivative operator
%K generalized basic hypergeometric function
%K basic analogue of Fox H-function
%K basic analogue of Bessel function
%U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/762