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Journal article
Polynomial Approximations to Integral Transforms
Mathematics of computation, v 15(74), pp 174-178
01 Apr 1961
Abstract
Introduction. The symmetric Jaeobi polynomials Pn"'a)(x), orthogonal on the interval —1 S i¿ 1, are widely used for approximating functions, but the integral which defines the coefficients for the expansion of a function g(x) in these polynomials usually is quite difficult to evaluate. The problem is simplified if g(x) is an integral transform of the Fourier or Laplace type, since the kernel of the transform generates a series of the above polynomials. The coefficients in such cases are found to be Hankel transforms, which are widely tabulated.
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Details
- Title
- Polynomial Approximations to Integral Transforms
- Creators
- Jet Wimp - MRIGlobal
- Publication Details
- Mathematics of computation, v 15(74), pp 174-178
- Publisher
- National Academy of Sciences--The National Research Council
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Scopus ID
- 2-s2.0-84968466224
- Other Identifier
- 991021879628904721