Some Fractional <i>q</i>-Integrals and <i>q</i>-Derivatives

A q -analogue of the integral ∣ f(t)dt is defined by means of which is an inverse of the q –derivative The present author ( 2 ) has recently obtained a q –nalogue of a formula of Cauchy, namely, where, for real or complex α and N a positive integer,

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