On 𝑞-analogues of the Euler constant and Lerch’s limit formula

DOI10.1090/S0002-9939-03-07025-4zbMath1114.33022OpenAlexW1692383349MaRDI QIDQ4452181

Nobushige Kurokawa, Masato Wakayama

Publication date: 12 February 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-07025-4

Mathematics Subject Classification ID

(q)-gamma functions, (q)-beta functions and integrals (33D05) Hurwitz and Lerch zeta functions (11M35)

Related Items

On 𝑞-analogue of Euler–Stieltjes constants ⋮ On \(q\)-analogues of the Barnes multiple zeta functions ⋮ Certain families of elliptic functions defined by \(q\)-series ⋮ A \(p\)-analogue of Euler's constant and congruence zeta functions ⋮ On arithmetic nature of a 𝑞-Euler-double zeta values ⋮ Hermite's formulas for \(q\)-analogues of Hurwitz zeta functions ⋮ Some formulas related to Hurwitz-Lerch zeta functions ⋮ q-Analogues of the Riemann zeta, the Dirichlet L-functions, and a crystal zeta function ⋮ Euler’s constant: Euler’s work and modern developments

Cites Work

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• Euler's constants for the Selberg and the Dedekind zeta functions
• The \(q\)-gamma function for \(q>1\)
• Theq-Gamma andq-Beta Functions†
• A VARIATION OF EULER′S APPROACH TO VALUES OF THE RIEMANN ZETA FUNCTION
• A Logarithmic Transcendent