Fractional Bernoulli Numbers and Polynomials
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Date
2019-07-09
Authors
Woldeyohannes Eyerusalem
Journal Title
Journal ISSN
Volume Title
Publisher
Addis Ababa University
Abstract
In this thesis, we investigate the fractional Bernoulli numbers Ba;m and poly-
nomials Ba;m(z) for all positive fractions a =
; 6= 0. We establish several
properties of these numbers and polynomials which are analogous to the clas-
sical as well as hypergeometric Bernoulli numbers and polynomials. We also
develop the higher order fractional Bernoulli numbers B(t)
a;m and polynomials
B(t)
a;m(z) and their connection to other identity.
Description
Keywords
Fractional, Bernoulli, Numbers, Polynomials