Mathieu functions for purely imaginary parameters
نویسندگان
چکیده
For theMathieu differential equation y(x)+[a−2q cos(x)]y(x) = 0with purely imaginary parameter q = is, the characteristic value a exhibits branching points. We analyze the properties of the Mathieu functions and their Fourier coefficients in the vicinity of the branching points. Symmetry relations for the Mathieu functions as well as the Fourier coefficients behind a branching point are given. A numerical method to compute Mathieu functions for all values of the parameter s is presented. © 2012 Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- J. Computational Applied Mathematics
دوره 236 شماره
صفحات -
تاریخ انتشار 2012