Sharp bounds for a ratio of the q-gamma function in terms of the q-digamma function
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چکیده
منابع مشابه
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چکیده ندارد.
15 صفحه اولSharp Smith’s bounds for the gamma function
Among various approximation formulas for the gamma function, Smith showed that [Formula: see text] which is a little-known but accurate and simple one. In this note, we prove that the function [Formula: see text] is strictly increasing and concave on [Formula: see text], which shows that Smith's approximation is just an upper one.
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2021
ISSN: 1029-242X
DOI: 10.1186/s13660-021-02642-7