Some discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function

DOI10.1016/j.aml.2008.08.024zbMath1179.65166OpenAlexW2084042057MaRDI QIDQ845640

Djurdje Cvijović, Hari M. Srivastava

Publication date: 29 January 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.08.024

zbMATH Keywords

Hurwitz zeta functionRiemann zeta functiondiscrete Fourier transformBernoulli numbersBernoulli polynomialsHurwitz-Lerch zeta functionLipschitz-Lerch zeta functionLegendre Chi functionLerch Zeta function

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical methods for discrete and fast Fourier transforms (65T50) Hurwitz and Lerch zeta functions (11M35)

Related Items

Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function, Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions, Geometric properties of generalized polylogarithm

Cites Work

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• Integral representations of the Legendre chi function
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• Some relationships between the generalized Apostol–Bernoulli polynomials and Hurwitz–Lerch Zeta functions
• Some expansion formulas for a class of generalized Hurwitz–Lerch Zeta functions
• Exponential Sums of Lerch's Zeta Functions
• Values of the Legendre chi and Hurwitz zeta functions at rational arguments
• Some formulas for the Bernoulli and Euler polynomials at rational arguments