Integral Representations of the Wilson Polynomials and the Continuous Dual Hahn Polynomials
Copyright policy )Integral Representations of the Wilson Polynomials and the Continuous Dual Hahn Polynomials
Let \(\{p_n(x)\}_{n=0,1, \dots}\) denote the set of monic orthogonal polynomials, \(p_n(x)\) of degree \(n\), associated with the weight function \(w(x)\). Then it is straightforward to show \[ p_n(x)={1\over C} \int^\infty_{-\infty} dx_1w(x_1) \dots\int^\infty_{- \infty} dx_Nw(x_N) \prod^N_{l=1} (x-x_1) \prod_{1\leq j
- Institute of Science Tokyo Japan
- Kyushu University Japan
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), multidimensional generalizations of Barnes type integrals, Applied Mathematics, continuous Hahn polynomials, continuous dual Hahn polynomials, Wilson polynomials
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), multidimensional generalizations of Barnes type integrals, Applied Mathematics, continuous Hahn polynomials, continuous dual Hahn polynomials, Wilson polynomials
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