R(p,q)-calculus: differentiation and integration

Abstract

We build a framework for R(p;q)-deformed calculus, which pro- vides a method of computation for deformed R(p;q)-derivative and integration, generalizing known deformed derivatives and integrations of analytic functions defined on a complex disc as particular cases corresponding to conveniently cho- sen meromorphic functions. Under prescribed conditions, we define the R(p;q)- derivative and integration. Relevant examples are also given.