On a q-analogue of the log-Γ-function

DOI10.1017/S0027763000004840zbMath0804.11018OpenAlexW1518399945MaRDI QIDQ4305900

Hirofumi Tsumura

Publication date: 22 January 1995

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000004840

zbMATH Keywords

\(q\)-Bernoulli numbersStirling expansionlocally analytic function\(q\)-log-\(\Gamma\)-function

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Other Dirichlet series and zeta functions (11M41)

Cites Work

• \(q\)-analogue of Riemann's \(\zeta\)-function and \(q\)-Euler numbers
• On Carlitz's \(q\)-Bernoulli numbers
• A note on \(q\)-analogues of the Dirichlet series and \(q\)-Bernoulli numbers
• \(q\)-Bernoulli numbers and polynomials
• A construction of q-analogue of Dedekind sums
• Theq-Gamma andq-Beta Functions†

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