Geodesic
Asymptotics of diagonal Pad\'e approximants of the functions $\sin z$, $\cos z$,
Sbornik. Mathematics, Tome 36 (1980) no. 2, pp. 231-249

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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. 
@article{SM_1980_36_2_a6,
     author = {V. K. Dzyadyk},
     title = {Asymptotics of diagonal {Pad\'e} approximants of the functions $\sin z$, $\cos z$,},
     journal = {Sbornik. Mathematics},
     pages = {231--249},
     publisher = {mathdoc},
     volume = {36},
     number = {2},
     year = {1980},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1980_36_2_a6/}
}
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V. K. Dzyadyk. Asymptotics of diagonal Pad\'e approximants of the functions $\sin z$, $\cos z$,. Sbornik. Mathematics, Tome 36 (1980) no. 2, pp. 231-249. http://geodesic.mathdoc.fr/item/SM_1980_36_2_a6/