| Title:
|
Numeric-analytical construction of Mathieu functions (English) |
| Author:
|
Ryabov, Yu. A. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
124 |
| Issue:
|
1 |
| Year:
|
1999 |
| Pages:
|
15-28 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Mathieu functions |
| Keyword:
|
iterative algorithm |
| Keyword:
|
Quick-BASIC program |
| Keyword:
|
Fourier series |
| MSC:
|
33E10 |
| MSC:
|
34A25 |
| MSC:
|
34A50 |
| MSC:
|
65D15 |
| MSC:
|
65D20 |
| idZBL:
|
Zbl 0936.65016 |
| idMR:
|
MR1687433 |
| DOI:
|
10.21136/MB.1999.125982 |
| . |
| Date available:
|
2009-09-24T21:34:34Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125982 |
| . |
| Reference:
|
[1] Ch. Hayashi: Nonlinear Oscillations in Physical Systems.McGraw-Hill, New York, 1964. Zbl 0192.50605, MR 0170071 |
| Reference:
|
[2] 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.) MR 0554259 |
| Reference:
|
[3] B. A. Grebenikov, Yu. A. Ryabov: Constructive methods in the analysis of nonlinear systems.Mir Publishers, Moscow, 1983, translated from Russian. Zbl 0536.65058, MR 0733787 |
| . |
