” Some Properties Of Fractional Bernoulli Polynomials”

Abstract

In this thesis we establish some properties of fractional Bernoulli numbers and fractional Bernoulli polynomials which are analogous to fractional exponential function. We also investigate the fraction Bernoulli numbers Bα,n and Bernoulli polynomials Bα,n(z) where α is a fractional numbers which are analogous to fractional exponential function.