Kober fractional q-derivative operators
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 functionAbstract
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.
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