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q-Wallis inequality
Journal article   Peer reviewed

q-Wallis inequality

Mansour Mahmoud
Journal of computational analysis and applications, Vol.19(6), pp.994-1002
01/12/2015

Abstract

Computer Science Computer Science, Theory & Methods Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology
In the paper, we present the following double inequality 1/Gamma(q2)(1/2)root[n+nu](q2) < W-n,W-q < 1/Gamma(q2)(1/2)root[n+mu](q2), 0 < mu <= 1/4; nu >= 1/2 where n is an element of N,0 < q < 1, Gamma(q)(x) is the q-gamma function and W-n,W-q is the q-Wallis ratio.

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