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- W1741104525 abstract "Asymptotic expansions of series $sum_{k=0}^infty epsilon^k(k+a)^gamma e^{-(k+a)^alpha x}$ and $sum_{k=0}^infty epsilon^k(k+a)^gamma / (x(k+a)^alpha+1)^mu}$ in powers of $x$ as $xto+0$ are found, where $epsilon=1$ or $epsilon=-1$. These expansions are applied to obtain precise inequalities for Mathieu series. Keywords: Asymptotic expansion, residues, generalized Mathieu series, inequalities." @default.
- W1741104525 created "2016-06-24" @default.
- W1741104525 creator A5051484969 @default.
- W1741104525 date "2010-01-30" @default.
- W1741104525 modified "2023-09-27" @default.
- W1741104525 title "Asymptotic expansions of several series and their application" @default.
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