The expansion of a holomorphic function in a series of Lamé products

DOI10.1006/jath.1993.1096zbMath0804.42016OpenAlexW1967802857MaRDI QIDQ1318232

Hans W. Volkmer

Publication date: 24 January 1995

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1993.1096

zbMATH Keywords

expansionFourier seriesholomorphic functionsproducts of Lamé polynomialsspherical surface harmonicssphero-conal coordinatestwo-dimensional complex manifold

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Power series, series of functions of several complex variables (32A05) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Lamé, Mathieu, and spheroidal wave functions (33E10)