This article is cited in 16 papers

Asymptotics of diagonal Padé approximants of the functions $\sin z$, $\cos z$, $\operatorname{sinh}z$ and $\operatorname{cosh}z$

V. K. Dzyadyk


Abstract: This paper studies properties of diagonal Padé approximants of the functions $\sin z$, $\cos z$, $\operatorname{sinh}z$ and $\operatorname{cosh}z$. It investigates asymptotic equations, at each $z\in\mathbf C$, for the difference between a given function and the corresponding diagonal Padé approximants.
Bibliography: 15 titles.

UDC: 517.53

MSC: Primary 30E10; Secondary 41A20, 33A65

Received: 20.01.1978

 English version: Mathematics of the USSR-Sbornik, 1980, 36:2, 231–249

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