Kober fractional q-derivative operators

  • Mridula Garg University of Rajasthan, Jaipur
  • Lata Chanchlani University of Rajasthan, Jaipur
Keywords: Kober fractional q-integral operator, Kober fractional q-derivative operator, generalized basic hypergeometric function, basic analogue of Fox H-function, basic analogue of Bessel function


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.

Author Biography

Mridula Garg, University of Rajasthan, Jaipur

Deptt. of Mathematics, University of Rajasthan, JaipurĀ