Some extensions of the Fermi-Dirac and Bose-Einstein functions with applications to the family of the zeta and related functions

DOI10.1134/S1061920811010110zbMath1252.82021MaRDI QIDQ455569

Asghar Qadir, M. Aslam Chaudhry, Asifa Tassaddiq, Hari M. Srivastava

Publication date: 22 October 2012

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

zeta functionsHurwitz-Lerch zeta functionBose-Einstein functionsFermi-Dirac functions

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Other functions defined by series and integrals (33E20) Hurwitz and Lerch zeta functions (11M35)

Related Items (9)

Computation of a general integral of Fermi-Dirac distribution by McDougall-Stoner method ⋮ Some relations involving generalized Hurwitz-Lerch zeta function obtained by means of fractional derivatives with applications to Apostol-type polynomials ⋮ Fourier transform representation of the generalized hypergeometric functions with applications to the confluent and Gauss hypergeometric functions ⋮ A new generalization of the Riemann zeta function and its difference equation ⋮ Reduction and duality of the generalized Hurwitz-Lerch zetas ⋮ 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 ⋮ Some families of Genocchi type polynomials and their interpolation functions

Cites Work

• A new generalization of the Bernoulli and related polynomials
• Remarks on some relationships between the Bernoulli and Euler polynomials.
• An intersection theorem for multivalued maps and applications
• Some expansion formulas for a class of generalized Hurwitz–Lerch Zeta functions
• Factorization of numbers with physical systems
• Some formulas for the Bernoulli and Euler polynomials at rational arguments
• A generalization of the Hurwitz - Lerch Zeta function
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