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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Coefficients in series expansions for certain classes of functions

Authors: P. D. Tuan and David Elliott
Journal: Math. Comp. 26 (1972), 213-232
MSC: Primary 42A52; Secondary 65D99
MathSciNet review: 0301440
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Abstract: The problem of evaluating or estimating the coefficients for the expansion of a function in a series of classical orthogonal polynomials is examined. By restricting the functions under consideration to the classes of integral transforms and inverse integral transforms, the coefficients may be expressed in alternative forms which often are more amenable to analysis.

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Keywords: Coefficients in series expansions of functions, Jacobi polynomials, Fourier transform, generalised function, Laplace transform, Stieltjes transform
Article copyright: © Copyright 1972 American Mathematical Society