Table of fourier coefficients of associated legendre functions
نویسندگان
چکیده
منابع مشابه
Coefficients of the legendre and fourier series for the scattering functions of spherical particles.
Results of computations are presented to show the variations of coefficients of four different Legendre series, one for each of the four scattering functions needed in describing directional dependence of the radiation scattered by a sphere. Values of the size parameter (x) covered for this purpose vary from 0.01 to 100.0. An adequate representation of the entire scattering function vs scatteri...
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In this article we prove that if the coefficients of a Fourier–Legendre expansion satisfy a suitable Hausdorff–type condition, then the series converges to a function which admits a holomorphic extension to a cut–plane. Furthermore, we prove that a Laplace–type (Laplace composed with Radon) transform of the function describing the jump across the cut is the unique Carlsonian interpolation of th...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1960
ISSN: 1385-7258
DOI: 10.1016/s1385-7258(60)50058-8