Beta-integrals and finite orthogonal systems of Wilson polynomials
Journal Article
·
· Sbornik. Mathematics
- Russian Federation State Scientific Center 'A.I. Alikhanov Institute for Theoretical and Experimental Physics', Moscow (Russian Federation)
The integral is calculated and the system of orthogonal polynomials with weight equal to the corresponding integrand is constructed. This weight decreases polynomially, therefore only finitely many of its moments converge. As a result the system of orthogonal polynomials is finite. Systems of orthogonal polynomials related to {sub 5}H{sub 5}-Dougall's formula and the Askey integral is also constructed. All the three systems consist of Wilson polynomials outside the domain of positiveness of the usual weight.
- OSTI ID:
- 21205703
- Journal Information:
- Sbornik. Mathematics, Vol. 193, Issue 7; Other Information: DOI: 10.1070/SM2002v193n07ABEH000670; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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