On Jacobi and continuous Hahn polynomials
Copyright policy )On Jacobi and continuous Hahn polynomials
The inter-relation between the Jacobi polynomials and the continuous Hahn polynomials via the Fourier transform is exploited to deduce the orthogonality relation of the latter from that of the former and the use of Parseval's relation. This is an additional independent case of the proof of this important relation whereby the general theory of special functions is further unified.
- University of Amsterdam Netherlands
- KU Leuven Belgium
- Katholieke Universiteit Leuven Belgium
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Hahn polynomials, Parseval's relation, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Jacobi polynomials, Fourier transform
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Hahn polynomials, Parseval's relation, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Jacobi polynomials, Fourier transform
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