Numeric-analytical construction of Mathieu functions
Mathematica Bohemica (1999)
- Volume: 124, Issue: 1, page 15-28
- ISSN: 0862-7959
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topRyabov, Yu. A.. "Numeric-analytical construction of Mathieu functions." Mathematica Bohemica 124.1 (1999): 15-28. <http://eudml.org/doc/248447>.
@article{Ryabov1999,
abstract = {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.},
author = {Ryabov, Yu. A.},
journal = {Mathematica Bohemica},
keywords = {Mathieu functions; iterative algorithm; Quick-BASIC program; Fourier series; Mathieu functions; iterative algorithm; Quick-BASIC program; Fourier series},
language = {eng},
number = {1},
pages = {15-28},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Numeric-analytical construction of Mathieu functions},
url = {http://eudml.org/doc/248447},
volume = {124},
year = {1999},
}
TY - JOUR
AU - Ryabov, Yu. A.
TI - Numeric-analytical construction of Mathieu functions
JO - Mathematica Bohemica
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 124
IS - 1
SP - 15
EP - 28
AB - 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.
LA - eng
KW - Mathieu functions; iterative algorithm; Quick-BASIC program; Fourier series; Mathieu functions; iterative algorithm; Quick-BASIC program; Fourier series
UR - http://eudml.org/doc/248447
ER -
References
top- Ch. Hayashi, Nonlinear Oscillations in Physical Systems, McGraw-Hill, New York, 1964. (1964) Zbl0192.50605MR0170071
- Yu. A. Ryabov, The estimations of convergence radius for series in power of parameter and algorithms for construction of Mathieu functions, Differencialnye uravnenija 15 (1979), no. 11, 1993-2003. (In Russian.) (1979) MR0554259
- B. A. Grebenikov, Yu. A. Ryabov, Constructive methods in the analysis of nonlinear systems, Mir Publishers, Moscow, 1983, translated from Russian. (1983) Zbl0536.65058MR0733787
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