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Error Bounds for the Asymptotic Expansion of the Ratio of Two Gamma Functions with Complex Argument

โœ Scribed by Frenzen, C. L.


Book ID
118199965
Publisher
Society for Industrial and Applied Mathematics
Year
1992
Tongue
English
Weight
516 KB
Volume
23
Category
Article
ISSN
0036-1410

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Sharp Bounds for the Ratio of q โ€“ Gamma
โœ Horst Alzer ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 148 KB ๐Ÿ‘ 2 views

Let ฮ“q (0 < q = 1) be the q -gamma function and let s โˆˆ (0, 1) be a real number. We determine the largest number ฮฑ = ฮฑ(q, s) and the smallest number ฮฒ = ฮฒ(q, s) such that the inequalities hold for all positive real numbers x. Our result refines and extends recently published inequalities by Ismail