Generalized q-integrals via neutrices: Application to the q-beta function
Generalized q-integrals via neutrices: Application to the q-beta function
Let ƒ(x) be a continuous function defined on the interval [0, ɑ]. In this work, we apply the neutrix limit to generalize the q-integral ɑ-1 lnrxƒ(x)dqx, r ε N for all values of α ε R. We use our results to extend the definition of the q-beta function Bq(ɑ, b) …