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HERMITE'S FORMULA FOR q-GAMMA FUNCTION
Journal article   Open access  Peer reviewed

HERMITE'S FORMULA FOR q-GAMMA FUNCTION

Mansour Mahmoud and Ravi P. Agarwal
Mathematical inequalities & applications, Vol.19(3), pp.841-851
01/07/2016
DOI: https://doi.org/10.7153/mia-19-61

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we presented the Raabe's integral and Hermite's formula for q-gamma function Gamma(q)(x), 0 < q < 1. We deduced new proofs of the formulas Gamma(q)'(x)/Gamma(q)(x) and q-Gauss's multiplication using the Hermite's formula of Gamma(q)(x) and H. Jack's technique [11]. Also, we deduced new double inequality of Gamma(q)(x).
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https://doi.org/10.7153/mia-19-61View
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