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Sharp Bounds for the Ratio of q – Gamma Functions

✍ Scribed by Horst Alzer

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
148 KB
Volume
222
Category
Article
ISSN
0025-584X

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✦ Synopsis

Let Γq (0 < q = 1) be the q -gamma function and let s ∈ (0, 1) be a real number. We determine the largest number α = α(q, s) and the smallest number β = β(q, s) such that the inequalities

hold for all positive real numbers x. Our result refines and extends recently published inequalities by

Ismail and Muldoon (1994).

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