Some new connection relations related to classical orthogonal polynomials

DOI10.1155/2020/4702347zbMath1489.33006OpenAlexW3036994246MaRDI QIDQ2194665

Wathek Chammam, Wasim Ul-Haq

Publication date: 7 September 2020

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/4702347

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Positive linear operators and order-bounded operators (47B65)

Cites Work

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• Hausdorff means and moment sequences
• Characterization of Laguerre polynomials as orthogonal polynomials connected by the Laguerre degree raising shift operator
• On inverse problem leading to second-order linear functionals
• Chebyshev polynomials of the second kind via raising operator preserving the orthogonality
• Total positivity of Riordan arrays
• Orthogonal polynomials, Catalan numbers, and a general Hankel determinant evaluation
• The equality cases for the inequalities of Oppenheim and Schur for positive semi-definite matrices
• Generalized harmonic numbers, Jacobi numbers and a Hankel determinant evaluation

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