A fast algorithm for the construction of recurrence relations for modified moments

Stanisław Lewanowicz

Applicationes Mathematicae (1994)

  • Volume: 22, Issue: 3, page 359-372
  • ISSN: 1233-7234

Abstract

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A new approach is presented for constructing recurrence relations for the modified moments of a function with respect to the Gegenbauer polynomials.

How to cite

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Lewanowicz, Stanisław. "A fast algorithm for the construction of recurrence relations for modified moments." Applicationes Mathematicae 22.3 (1994): 359-372. <http://eudml.org/doc/219102>.

@article{Lewanowicz1994,
abstract = {A new approach is presented for constructing recurrence relations for the modified moments of a function with respect to the Gegenbauer polynomials.},
author = {Lewanowicz, Stanisław},
journal = {Applicationes Mathematicae},
keywords = {Gegenbauer polynomials; recurrence relations; modified moments; Gegenbauer moments; differential operator; approximation},
language = {eng},
number = {3},
pages = {359-372},
title = {A fast algorithm for the construction of recurrence relations for modified moments},
url = {http://eudml.org/doc/219102},
volume = {22},
year = {1994},
}

TY - JOUR
AU - Lewanowicz, Stanisław
TI - A fast algorithm for the construction of recurrence relations for modified moments
JO - Applicationes Mathematicae
PY - 1994
VL - 22
IS - 3
SP - 359
EP - 372
AB - A new approach is presented for constructing recurrence relations for the modified moments of a function with respect to the Gegenbauer polynomials.
LA - eng
KW - Gegenbauer polynomials; recurrence relations; modified moments; Gegenbauer moments; differential operator; approximation
UR - http://eudml.org/doc/219102
ER -

References

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  2. [2] A. Erdélyi (ed.), Higher Transcendental Functions, McGraw-Hill, New York, 1953. Zbl0051.30303
  3. [3] W. Gautschi, Orthogonal polynomials-Constructive theory and applications, J. Comput. Appl. Math. 12&13 (1985), 61-76. Zbl0583.65011
  4. [4] W. Gautschi, On generating orthogonal polynomials, SIAM J. Sci. Statist. Comput. 3 (1982), 289-317. Zbl0482.65011
  5. [5] W. Gautschi, On certain slowly convergent series occurring in plate contact problems, Math. Comp. 57 (1991), 325-338. Zbl0739.40003
  6. [6] S. Lewanowicz, Construction of a recurrence relation for modified moments, J. Comput. Appl. Math. 5 (1979), 193-205. Zbl0437.65095
  7. [7] S. Lewanowicz, Recurrence relations for hypergeometric functions of unit argument, Math. Comp. 45 (1985), 521-535; corr. ibid. 47 (1987), 853. Zbl0583.33005
  8. [8] S. Lewanowicz, Evaluation of Bessel function integrals with algebraic singularity, J. Comput. Appl. Math. 37 (1991), 101-112. Zbl0749.65014
  9. [9] Y. L. Luke, The Special Functions and their Approximations, Academic Press, New York, 1969. Zbl0193.01701
  10. [10] R. Piessens and M. Branders, Modified Clenshaw-Curtis method for the computation of Bessel function integrals, BIT 23 (1983), 370-381. Zbl0514.65008
  11. [11] R. Piessens and M. Branders, On the computation of Fourier transforms of singular functions, J. Comput. Appl. Math. 43 (1992), 159-169. Zbl0762.65099
  12. [12] R. Piessens, E. de Doncker-Kapenga, C. W. Überhuber and D. K. Kahaner, QUADPACK. A Subroutine Package for Automatic Integration, Springer, Berlin, 1983. Zbl0508.65005

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