Mathieu integral transforms

DOI10.1063/1.529409zbMath0741.44002OpenAlexW2051458513MaRDI QIDQ3981624

Anis A. Inayat-Hussain

Publication date: 26 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529409

zbMATH Keywords

Hankel transforminversion formulaeigenfunction expansionMathieu functionsorthogonality conditionWeber-Orr transformsMathieu integral transforms

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Series solutions to PDEs (35C10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Lamé, Mathieu, and spheroidal wave functions (33E10) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70) Multiple integral transforms (44A30)

Related Items

Steady currents in composite conductors, eigenfunction expansions, and exactly solvable linear integral equations

Cites Work

• A new generalization of the Hankel integral transform
• Curvilinear Co-ordinate Systems in which the Helmholtz Equation Separates