On a polynomial sequence associated with the Bessel operator
DOI10.1090/S0002-9939-2013-11658-8zbMath1285.33010arXiv1104.4055OpenAlexW1996466569MaRDI QIDQ5398123
Ana F. Loureiro, Semyon B. Yakubovich, Pascal Maroni
Publication date: 26 February 2014
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.4055
integral representationBessel operatorEuler numberspolynomial sequencedual sequencepositive definite measure
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Integral transforms of special functions (44A20)
Related Items (3)
Cites Work
- On the least values of \(L_{p}\)-norms for the Kontorovich--Lebedev transform and its convolution
- New results on the Bochner condition about classical orthogonal polynomials
- Combinatorial interpretations of the Jacobi-Stirling numbers
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- On the Kontorovich-Lebedev transformation
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- Jacobi-Stirling numbers, Jacobi polynomials, and the left-definite analysis of the classical Jacobi differential expression
- A class of polynomials and discrete transformations associated with the Kontorovich–Lebedev operators
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