Some formulas related to Hurwitz-Lerch zeta functions

DOI10.1007/s11139-009-9199-4zbMath1268.11125OpenAlexW2022650547MaRDI QIDQ970594

Takashi Nakamura

Publication date: 19 May 2010

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-009-9199-4

zbMATH Keywords

gamma functiondigamma functiontranscendental numbersHurwitz-Lerch zeta functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Hurwitz and Lerch zeta functions (11M35) Linear forms in logarithms; Baker's method (11J86)

Related Items (5)

Applications of inversion formulas to the joint \(t\)-universality of Lerch zeta functions ⋮ A bridge between unit square and single integrals for real functions of the form \(f(x\cdot y)\) ⋮ Asymptotic expansions pertaining to the logarithmic series and related trigonometric sums ⋮ On the fractional sums of some special functions ⋮ Reduction and duality of the generalized Hurwitz-Lerch zetas

Cites Work

• On polylogarithms, Hurwitz zeta functions, and the Kubert identities
• A multiplication theorem for the Lerch zeta function and explicit representations of the Bernoulli and Euler polynomials
• Transcendental values of the digamma function
• On the Hurwitz-Lerch zeta-function.
• On the Lerch zeta function
• On 𝑞-analogues of the Euler constant and Lerch’s limit formula
• Some formulas for the Bernoulli and Euler polynomials at rational arguments
• New Formulae for the Bernoulli and Euler Polynomials at Rational Arguments
• On Barnes' multiple zeta and gamma functions
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