Sharp inequalities and asymptotic expansion associated with the Wallis sequence
نویسندگان
چکیده
منابع مشابه
Inequalities and asymptotic expansions associated with the Wallis sequence
We present the asymptotic expansions of functions involving the ratio of gamma functions and provide formulas for determining the coefficients of the asymptotic expansions. As consequences, we obtain the asymptotic expansions of the Wallis sequence. Also, we establish inequalities for the Wallis sequence.
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2015
ISSN: 1029-242X
DOI: 10.1186/s13660-015-0699-z