Fourier Transform Representation of the Extended Fermi-Dirac and Bose-Einstein Functions with Applications to the Family of the Zeta and Related Functions. (arXiv:1104.4346v1 [math-ph])

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 for these functions. In this paper we use the Fourier
transform representation of the extended functions to evaluate integrals of
products of these functions. In particular we evaluate some integrals
containing the Riemann and Hurwitz zeta functions, which had not been evaluated
before.

math-ph updates on arXiv.org

Incoming search terms:

• fourier transform fermi function
• fermi dirac function
• fourier transformation of fermi function
• Fourier transformation Fermi funktion
• fourier transform of fermi function
• fourier transform fermi
• fourier fermi high energy
• fouriertransformation der fermi
• fermi function fourier transform
• fourier transformation fermifunction