Geodesic
Effective solution of the problem of the optimal stability polynomial
Sbornik. Mathematics, Tome 196 (2005) no. 7, pp. 959-981

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An effective method for finding the polynomial approximating the exponential function with order 3 at the origin and deviating from 0 by at most 1 on the longest interval of the real axis is put forward. This problem is reduced to the solution of four equations on a 4-dimensional moduli space of algebraic curves. A numerical realization of this method using summation of linear Poincaré series is described. 
@article{SM_2005_196_7_a1,
     author = {A. B. Bogatyrev},
     title = {Effective solution of the problem of the optimal stability polynomial},
     journal = {Sbornik. Mathematics},
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     volume = {196},
     number = {7},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2005_196_7_a1/}
}
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A. B. Bogatyrev. Effective solution of the problem of the optimal stability polynomial. Sbornik. Mathematics, Tome 196 (2005) no. 7, pp. 959-981. http://geodesic.mathdoc.fr/item/SM_2005_196_7_a1/