A proof of Freud's conjecture about the orthogonal polynomials related to |x|ρexp(−x2m), for integer m.-Reference-Cited by-同舟云学术

A proof of Freud's conjecture about the orthogonal polynomials related to |x|ρexp(−x2m), for integer m.

Published:1985 Issue: Volume: Page:362-372
ISSN:0075-8434
Container-title:Lecture Notes in Mathematics
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Author:

Magnus Alphonse P.

Publisher

Springer Berlin Heidelberg

Link

http://link.springer.com/content/pdf/10.1007/BFb0076565

Reference31 articles.

1. D. BESSIS A new method in the combinatorics of the topological expansion. Commun. Math. Phys. 69(1979) 147–163.

2. T.S. CHIHARA An Introduction to Orthogonal Polynomials. Gordon & Breach, NY, 1978.

3. B. DANLOY Construction of gaussian quadrature formulas for ε∞ 0 e−x 2 f(x)dx. NFWO-FNRS Meeting Leuven 20 Nov. 1975 (unpublished). Numerical construction of orthonormal polynomials associated with an exponential weight function on a finite interval. To appear in J. Comp. Appl. Math.

4. G. FREUD On the greatest zero of an orthogonal polynomial I Acta Sci. math. Szeged. 34(1973)91–97. II 36(1974)45–54.

5. G. FREUD On the coefficients in the recursion formulae of orthogonal polynomials. Proc. Royal Irish Acad. 76A(1976)1–6.

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