Approximation of Mathieu Functions by Parabolic Cylinder Functions
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Published:2023-10
Issue:3-4
Volume:114
Page:303-307
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ISSN:0001-4346
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Container-title:Mathematical Notes
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language:en
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Short-container-title:Math Notes
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Reference11 articles.
1. R. E. Langer, “The solutions of the Mathieu equation with a complex variable and at least one parameter large,” Trans. Amer. Math. Soc. 36 (3), 637–710 (1934).
2. R. W. McKelvey, “The solutions of second order linear ordinary differential equations about a turning point of order two,” Trans. Amer. Math. Soc. 79, 103–123 (1955).
3. A. Sharples, “Uniform asymptotic forms of modified Mathieu functions,” Quart. J. Mech. Appl. Math. 20 (3), 365–380 (1967).
4. A. Sharples, “Uniform asymptotic expansions of modified Mathieu functions,” J. Reine Angew. Math. 247, 1–17 (1971).
5. W. Barret, “Mathieu functions of general order: connection formulae, base functions and asymptotic formulae. I–V,” Philos. Trans. Roy. Soc. London Ser. A 301, 75–162 (1981).