Mathieu functions and its useful approximation for elliptical waveguides
Faculty of Engineering Multimedia University Cyberjaya Malaysia
* Corresponding author: email@example.com
Published online: 22 November 2017
The standard form of the Mathieu differential equation is where a and q are real parameters and q > 0. In this paper we obtain closed formula for the generic term of expansions of modified Mathieu functions in terms of Bessel and modified Bessel functions in the following cases: Let ξ0 = ξ0, where i can take the values 1 and 2 corresponding to the first and the second boundary. These approximations also provide alternative methods for numerical evaluation of Mathieu functions.
© The Authors, published by EDP Sciences, 2017
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