Division problem of moment functionals.

DOI10.1216/rmjm/1030539695zbMath1043.42016OpenAlexW1988438756MaRDI QIDQ1415046

D. Massart

Publication date: 3 December 2003

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

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol32-2/CONT32-2/CONT32-2.html

zbMATH Keywords

quasi-definite moment functionalsdivision problem

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)

Related Items (9)

Recurrence relations for the moments of discrete semiclassical orthogonal polynomials ⋮ Discrete semiclassical orthogonal polynomials of class 2 ⋮ Building some symmetric Laguerre-Hahn functionals of class two at most through the sum of symmetric functionals as pseudofunctions with a Dirac measure at origin ⋮ Some inverse problems for \(d\)-orthogonal polynomials ⋮ On semi‐classical d‐orthogonal polynomials ⋮ Orthogonality of the Dickson polynomials of the $(k+1)$-th kind ⋮ On inverse problem leading to second-order linear functionals ⋮ Division problem of a regular form: the case \(x^2u=\lambda xv\) ⋮ On the inverse problem of the product of a form by a monomial: the casen=4. Part I

Cites Work

• Sur la suite de polynômes orthogonaux associée à la forme \(u=\delta_ c+\lambda (x-c)^{-1}L\). (On the sequence of orthogonal polynomials associated with the form \(u=\delta_ c+\lambda (x-c)^{- 1}L)\)
• Rational spectral transformations and orthogonal polynomials
• On the inverse problem of the product of a semi-classical from by a polynomial
• On kernel polynomials and self-perturbation of orthogonal polynomials
• An introduction to second degree forms
• Generating new classes of orthogonal polynomials
• Delta perturbation of a moment functional
• On Co-Recursive Orthogonal Polynomials
• The connection between systems of polynomials orthogonal with respect to different distribution functions
• Quasi-definiteness of generalized Uvarov transforms of moment functionals
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