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- W2952382013 abstract "We construct 3 finite systems of $4-F-3$ hypergeometric orthogonal polynomials. The weights are 1) the weight defined by the $5-H-5$ Dougall summation formula; 2) the integrand in the Askey beta-integral; 3) the weight $w(s)=|p(s)/q(s)|^2$, where $p(s)=Gamma(a+is)Gamma(b+is)Gamma(c+is)$ and $q(s)=Gamma(d+is)Gamma(2is)$. We also evaluate the integral of the function $w(s)$ using the Jacobi transform (the Olevsky transform); this integral also can be reduced to the Nassrallah--Rahman integral." @default.
- W2952382013 created "2019-06-27" @default.
- W2952382013 creator A5048217458 @default.
- W2952382013 date "2002-06-19" @default.
- W2952382013 modified "2023-09-25" @default.
- W2952382013 title "Beta-integrals and finite orthogonal systems of Wilson polynomials" @default.
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- W2952382013 doi "https://doi.org/10.4213/sm670," @default.
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