On linearly related sequences of derivatives of orthogonal polynomials

DOI10.1016/j.jmaa.2008.06.017zbMath1160.42011OpenAlexW2092864646MaRDI QIDQ944342

J. Petronilho, M. N. De Jesus

Publication date: 16 September 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/4582

zbMATH Keywords

orthogonal polynomialsinverse problemssemiclassical orthogonal polynomialsStieltjes transforms

Mathematics Subject Classification ID

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)

Related Items (16)

Unnamed Item ⋮ A matrix approach for the semiclassical and coherent orthogonal polynomials ⋮ (\(M,N\))-coherent pairs of linear functionals and Jacobi matrices ⋮ On the semi-classical character of orthogonal polynomials satisfying structure relations ⋮ Symmetric \(q\)-Dunkl-coherent pairs ⋮ Structure relations for orthogonal polynomials on the unit circle ⋮ On Sobolev orthogonal polynomials ⋮ Higher order coherent pairs ⋮ An inverse problem associated with (1,1) symmetric coherent linear functionals ⋮ Orthogonal polynomials associated with an inverse quadratic spectral transform ⋮ \((1,1)\)-coherent pairs on the unit circle ⋮ Linear combinations of \(d\)-orthogonal polynomials ⋮ Some results on Dunkl-coherent Pairs ⋮ On another extension of coherent pairs of measures ⋮ A differential analogue of Favard's theorem ⋮ On linearly related sequences of difference derivatives of discrete orthogonal polynomials

Cites Work

• Unnamed Item
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• Orthogonal polynomials and their derivatives. I
• On polynomials orthogonal with respect to certain Sobolev inner products
• On the linear functionals associated to linearly related sequences of orthogonal polynomials
• On inverse problems for orthogonal polynomials. I
• Variations around classical orthogonal polynomials. Connected problems
• Classical orthogonal polynomials: A functional approach
• On linearly related orthogonal polynomials and their functionals
• A family of singular semi-classical functionals
• On rational transformations of linear functionals: direct problem
• Companion linear functionals and Sobolev inner products: a case study
• Orthogonal Polynomials and Their Derivatives, II
• On the solution of some distributional differential equations: existence and characterizations of the classical moment functionals
• Generalized coherent pairs

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