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

• Autorzy: Stanisław Lewanowicz
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

Gegenbauer polynomials; recurrence relations; modified moments

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1993-1995
• Tom: 22
• Numer: 3
• Strony: 359-372

Daty

wydano

1994

otrzymano

1993-11-16

Twórcy

autor

Stanisław Lewanowicz

• Institute of Computer Science, University of Wrocław, ul. Przesmyckiego 20, 51-151 Wrocław, Poland

Bibliografia

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