期刊论文详细信息
Journal of inequalities and applications | |
Sharp inequalities and asymptotic expansion associated with the Wallis sequence | |
Ji-En Deng1  | |
关键词: Wallis sequence; gamma function; psi function; polygamma function; inequality; asymptotic expansion; 40A05; 33B15; 41A60; 26D15; | |
DOI : 10.1186/s13660-015-0699-z | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
We present asymptotic expansion of function involving the ratio of gamma functions and provide a recurrence relation for determining the coefficients of the asymptotic expansion. As a consequence, we obtain asymptotic expansion of the Wallis sequence. Also, we establish sharp inequalities for the Wallis sequence.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201902016343520ZK.pdf | 1514KB | download |