FOURIER SERIES IN RESPECTOF LOADED ORTHOGONAL POLYNOMIALS
نویسندگان
چکیده
منابع مشابه
Fourier Series of Orthogonal Polynomials
It follows from Bateman [4] page 213 after setting = 1 2 . It can also be found with slight modi cation in Bateman [5] page122. However we are not aware of any reference where explicit formulas for the Fourier coef cients for Gegenbauer, Jacobi, Laguerre and Hermite polynomials can be found. In this article we use known formulas for the connection coef cients relating an arbitrary orthogonal po...
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An explicit formula for the Fourier coef cients of the Legendre polynomials can be found in the Bateman Manuscript Project. However, formulas for more general classes of orthogonal polynomials do not appear to have been worked out. Here we derive explicit formulas for the Fourier series of Gegenbauer, Jacobi, Laguerre and Hermite polynomials. The methods described here apply in principle to an...
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ژورنال
عنوان ژورنال: Vestnik MGSU
سال: 2013
ISSN: 1997-0935,2304-6600
DOI: 10.22227/1997-0935.2013.8.35-14