Some properties and expansions associated with theq-digamma function
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Publication:2862821
DOI10.2989/16073606.2013.779946zbMath1274.41061OpenAlexW2017682769MaRDI QIDQ2862821
Publication date: 19 November 2013
Published in: Quaestiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2989/16073606.2013.779946
\(q\)-gamma function\(q\)-digamma function\(q\)-beta integralsNewton series\(q\)-maltiplication formula
(q)-gamma functions, (q)-beta functions and integrals (33D05) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)
Related Items (11)
Monotonic functions related to the \(q\)-gamma function ⋮ Two-sided inequality involving the \(q\)-gamma function ⋮ Sharp bounds for the \(q\)-gamma function in terms of the Lambert \(W\) function ⋮ Completely monotonic functions related to the gamma and the \(q\)-gamma functions ⋮ Monotonicity properties of \(q\)-digamma and \(q\)-trigamma functions ⋮ An infinite class of completely monotonic functions involving the \(q\)-gamma function ⋮ Complete Monotonicity property for two functions related to the q-digamma function ⋮ On the matrix versions of q-zeta function, q-digamma function and q-polygamma function ⋮ Sharp bounds for a ratio of the \(q\)-gamma function in terms of the \(q\)-digamma function ⋮ Completely monotonic functions related to the q-gamma and the q-trigamma functions ⋮ Generalized the q-digamma and the q-polygamma functions via neutrices
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