Advances in the Continuous Dual Hahn Polynomials
Advances in the Continuous Dual Hahn Polynomials
Summary: The continuous dual Hahn polynomials are orthogonal polynomials in a single variable whose weight function is given by the product of the gamma function. In this paper, we derive some advanced properties for these polynomials including multilinear and multilateral generating functions, recurrence relations and various integral representations.
- Gazi University Turkey
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), generating function, recurrence relation, continuous dual Hahn polynomials, integral representation, hypergeometric series
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), generating function, recurrence relation, continuous dual Hahn polynomials, integral representation, hypergeometric series
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