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Fourier transform representation of the extended Fermi–Dirac and Bose–Einstein functions with applications to the family of the zeta and related functions
On the one hand, the Fermi–Dirac and Bose–Einstein functions have been extended in such a way that they are closely related to the Riemann and other zeta functions. On the other hand, the Fourier transform representation of the gamma and generalized gamma functions proved useful in deriving various integral formulae …