ON AN EXPANSION OF POST QUANTUM ANALYSIS

Abstract

In the present work we give an extension of (p,q)- analysis. As an extension of (p,q)-analysis, the (r,p,q)-analysis is introduced. We define some elementary concepts of this analysis such as (r,p,q)-numbers, (r,p,q)-derivative, (r,p,q)-exponential functions, (r,p,q)-antiderivative and (r,p,q)-integral. We obtain some properties of the polynomial (x – a)n (r,p,q)-Taylor formula, (r,p,q)-binomial coefficients, divided differences and some relations between (r,p,q)-derivative, (r,p,q)-exponential functions, (r,p,q)-integral and finally, the fundamental theorem of (r,p,q)-analysis are examined in details.