Fourier transform representation of the extended Fermi–Dirac and Bose–Einstein functions with applications to the family of the zeta and related functions

DOI10.1080/10652469.2011.561002zbMath1234.33006arXiv1104.4346OpenAlexW2156752574MaRDI QIDQ3092989

Asghar Qadir, Asifa Tassaddiq

Publication date: 12 October 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4346

zbMATH Keywords

special functionsBose-Einstein functionFermi-Dirac function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Hurwitz and Lerch zeta functions (11M35) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (8)

An application of theory of distributions to the family of \(\lambda \)-generalized gamma function ⋮ Unified approach to fractional calculus images involving the pathway transform of extended \(k\)-gamma function and applications ⋮ Some integral representations of the \(_pR_q(\alpha,\beta;z)\) function ⋮ Fourier transform and distributional representation of the generalized gamma function with some applications ⋮ On modifications of the gamma function by using Mittag-Leffler function ⋮ Some new results involving the generalized Bose-Einstein and Fermi-Dirac functions ⋮ Some difference equations for Srivastava's \({\lambda}\)-generalized Hurwitz-Lerch zeta functions with applications ⋮ A new representation for Srivastava's \(\lambda\)-generalized Hurwitz-Lerch zeta functions

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• Uniform asymptotic approximation of Fermi-Dirac integrals
• Fourier transform and distributional representation of the gamma function leading to some new identities
• On a function which occurs in the theory of the structure of polymers

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