Gupta, S. D. An extension of the finite Mathieu transforms and its applications. I. (English) Zbl 0462.44003 Acta Cienc. Indica 5, 79-83 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Review 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 LamĂ©, Mathieu, and spheroidal wave functions Keywords:finite Mathieu transforms; inversion formulas; operational properties; heat diffusion; elliptic cylinder PDFBibTeX XMLCite \textit{S. D. Gupta}, Acta Cienc. Indica, Math. 5, 79--83 (1979; Zbl 0462.44003)