Geodesic
Sur L'itere de sin(x)
Publications de l'Institut Mathématique, _N_S_56 (1994) no. 70, p. 41 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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We show that the asymptotic expansion of the sequence $x_n = \sin x_{n-1}$ with $x_0 = x(x\in]0,\pi[)$, as $n$ goes to $+\infty$, uses a family of polynomials (with rational coefficients) which are linked by relations of recurrency. The study applies to a large class of sequences. We finish by a sharp study of the sinus function.
Classification : 10H25 41A10 
@article{PIM_1994_N_S_56_70_a5,
     author = {Farid Bencherif and Guy Robin},
     title = {Sur {L'itere} de sin(x)},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {41 },
     year = {1994},
     volume = {_N_S_56},
     number = {70},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1994_N_S_56_70_a5/}
}
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Farid Bencherif; Guy Robin. Sur L'itere de sin(x). Publications de l'Institut Mathématique, _N_S_56 (1994) no. 70, p. 41 . http://geodesic.mathdoc.fr/item/PIM_1994_N_S_56_70_a5/