Fractional Bernoulli Numbers and Polynomials

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dc.contributor.advisorHassen Abdulkadir (Professor)
dc.contributor.authorWoldeyohannes Eyerusalem
dc.date.accessioned2020-12-16T07:57:36Z
dc.date.accessioned2023-11-04T12:31:05Z
dc.date.available2020-12-16T07:57:36Z
dc.date.available2023-11-04T12:31:05Z
dc.date.issued2019-07-09
dc.description.abstractIn 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.en_US
dc.identifier.urihttp://etd.aau.edu.et/handle/123456789/24111
dc.language.isoenen_US
dc.publisherAddis Ababa Universityen_US
dc.subjectFractionalen_US
dc.subjectBernoullien_US
dc.subjectNumbersen_US
dc.subjectPolynomialsen_US
dc.titleFractional Bernoulli Numbers and Polynomialsen_US
dc.typeThesisen_US

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