Some New Results Involving the Generalized Bose-Einstein and Fermi-Dirac Functions

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dc.contributor.authorSrivastava, Rekha
dc.contributor.authorNaaz, Humera
dc.contributor.authorKazi, Sabeena
dc.contributor.authorTassaddiq, Asifa
dc.date.accessioned2020-10-19T23:32:49Z
dc.date.available2020-10-19T23:32:49Z
dc.date.copyright2019en_US
dc.date.issued2019
dc.description.abstractIn this paper, we obtain a new series representation for the generalized Bose–Einstein and Fermi–Dirac functions by using fractional Weyl transform. To achieve this purpose, we obtain an analytic continuation for these functions by generalizing the domain of Riemann zeta functions from (0<R(s)<1) to (0<R(s)<μ). This leads to fresh insights for a new generalization of the Riemann zeta function. The results are validated by obtaining the classical series representation of the polylogarithm and Hurwitz–Lerch zeta functions as special cases. Fractional derivatives and the relationship of the generalized Bose–Einstein and Fermi–Dirac functions with Apostol–Euler–Nörlund polynomials are established to prove new identities.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThe authors are thankful to the anonymous reviewers for their useful comments. They significantly improved the quality of this manuscript.en_US
dc.identifier.citationSrivastava, R., Naaz, H., Kazi, S., & Tassaddiq, A. (2019). Some New Results Involving the Generalized Bose-Einstein and Fermi-Dirac Functions. Axioms. 8(2), 1-12. https://doi.org/10.3390/axioms8020063.en_US
dc.identifier.urihttps://doi.org/10.3390/axioms8020063
dc.identifier.urihttp://hdl.handle.net/1828/12225
dc.language.isoenen_US
dc.publisherAxiomsen_US
dc.subjectFermi-Dirac function
dc.subjectBose-Einstein function
dc.subjectWeyl transform
dc.subjectseries representation
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleSome New Results Involving the Generalized Bose-Einstein and Fermi-Dirac Functionsen_US
dc.typeArticleen_US

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