Fourier transform and distributional representation of the generalized gamma function with some applications
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Publication:648280
DOI10.1016/j.amc.2011.03.075zbMath1238.46034OpenAlexW1979440307MaRDI QIDQ648280
Publication date: 22 November 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.075
Fourier transformGamma functiondistributional representationgeneralized Gamma functionParseval's identity
Related Items (9)
An application of theory of distributions to the family of \(\lambda \)-generalized gamma function ⋮ Complex Methods for Lie Symmetry Analysis ⋮ Unified approach to fractional calculus images involving the pathway transform of extended \(k\)-gamma function and applications ⋮ Fourier transform representation of the generalized hypergeometric functions with applications to the confluent and Gauss hypergeometric functions ⋮ Some integral representations of the \(_pR_q(\alpha,\beta;z)\) function ⋮ On modifications of the gamma function by using Mittag-Leffler function ⋮ Some new results involving the generalized Bose-Einstein and Fermi-Dirac functions ⋮ Fourier transform representation of the extended Fermi–Dirac and Bose–Einstein functions with applications to the family of the zeta and related functions ⋮ A new representation for Srivastava's \(\lambda\)-generalized Hurwitz-Lerch zeta functions
Cites Work
- Fourier transform and distributional representation of the gamma function leading to some new identities
- Extended incomplete gamma functions with applications
- Fourier transform representation of the extended Fermi–Dirac and Bose–Einstein functions with applications to the family of the zeta and related functions
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