ArticleOriginal scientific text

Title

Nonnegative linearization of orthogonal polynomials

Authors 1

Affiliations

  1. Institute of Mathematics, Wrocław University, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Bibliography

  1. R. Askey, Linearization of the product of orthogonal polynomials, in: Problems in Analysis (R. Gunning, ed.), Princeton University Press, Princeton, N.J., 1970, 223-228.
  2. R. Askey and S. Wainger, A dual convolution structure for Jacobi polynomials, in: Proc. Conference on Orthogonal Expansions and their Continuous Analogues, D. Haimo (ed.), Southern Illinois University Press, Carbondale, 1967, 25-36.
  3. R. Askey and J. A. Wilson, Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials, Mem. Amer. Math. Soc. 54 (1985).
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  5. J. Dougall, A theorem of Sonine in Bessel functions, with two extensions to spherical harmonics, Proc. Edinburgh Math. Soc. 37 (1919), 33-47.
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  8. S. Igari and Y. Uno, Banach algebras related to the Jacobi polynomials, Tôhoku Math. J. 21 (1969), 668-673.
  9. L. J. Rogers, Second memoir on the expansion of certain infinite products, Proc. London Math. Soc. 25 (1894), 318-343.
  10. A. L. Schwartz, l1-convolution algebras: representation and factorization, Z. Wahrsch. Verw. Gebiete 41 (1977), 161-176.
  11. G. Szegö, Orthogonal Polynomials, Colloq. Publ. 23, Amer. Math. Soc., Providence, R.I., 4th ed., 1975.
  12. R. Szwarc, Orthogonal polynomials and a discrete boundary value problem, I, SIAM J. Math. Anal. 23 (1992), 959-964.
  13. R. Szwarc, Orthogonal polynomials and a discrete boundary value problem, II, ibid., 965-969.
Pages:
309-316
Main language of publication
English
Received
1994-09-30
Accepted
1995-04-07
Published
1996
Exact and natural sciences