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An extension of the finite Mathieu transforms and its applications. I. (English) Zbl 0462.44003


MSC:

44A15 Special integral transforms (Legendre, Hilbert, etc.)
34B30 Special ordinary differential equations (Mathieu, Hill, Bessel, etc.)
35K05 Heat equation
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
35A22 Transform methods (e.g., integral transforms) applied to PDEs
33E10 Lamé, Mathieu, and spheroidal wave functions
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