A note on Koornwinder's polynomials with weight function (1 - X)α(1 + x)β + Mδ(x + 1) + Nδ(x - 1)

Numerical Algorithms

Volumn 11, Issue 1, 1996, Pages 229-241

  Kiesel, Harry ^a   Wimp, Jet ^a  

^a DREXEL UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009620577     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02142499     Document Type: Article

References (9)

1. T.S. Chihara, Orthogonal polynomials and measures with end point masses, Rocky Mountain Journal of Mathematics 15 (1985) 705-719.
2. β + Mδ(x + 1) + Nδ(x - 1), Canad. Math. Bull. 27 (1984) 205-214.
3. J. Wimp and H. Kiesel, Non-linear recurrence relations and induced orthogonal polynomials, to be published.
4. A. Erdelyi, Higher Transcendental Functions (Bateman Manuscript Project), Vol.II, 168-174.
5. E.D. Rainville, Special Functions (Chelsea Publ., 1960).
6. R. Askey and M. Ismail, Recurrence relations, continued fractions, and orthogonal polynomials, Memoirs of the AMS, vol. 49, number 300 (1984) pp.9-11.
7. J. Wimp, Computations with Recurrence Relations (Pitman, UK, 1984).
8. T.S. Chihara, An Introduction to Orthogonal Polynomials (Gordon and Breach, 1978).
9. B.W. Char et al., Maple V Library Reference Manual (Springer, 1991).