Geodesic
Numeric-analytical construction of Mathieu functions
Mathematica Bohemica, Tome 124 (1999) no. 1, pp. 15-28.

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In this paper we present an iterative algorithm for the construction of Mathieu functions of any order $N$ in the form of Fourier series (practically, polynomials), and also the corresponding Quick-BASIC program for realization of this algorithm with numerical values of the parameter.
DOI : 10.21136/MB.1999.125982
Classification : 33E10, 34A25, 34A50, 65D15, 65D20
Keywords: Mathieu functions; iterative algorithm; Quick-BASIC program; Fourier series 
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Ryabov, Yu. A. Numeric-analytical construction of Mathieu functions. Mathematica Bohemica, Tome 124 (1999) no. 1, pp. 15-28. doi : 10.21136/MB.1999.125982. http://geodesic.mathdoc.fr/articles/10.21136/MB.1999.125982/

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