Regular Sobolev type orthogonal polynomials: The Bessel case

DOI10.1216/rmjm/1181072155zbMath0858.42016OpenAlexW1969508349MaRDI QIDQ1915732

Miguel A. Piñar, Francisco Marcellán, Teresa E. Pérez

Publication date: 19 March 1997

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

Full work available at URL: https://doi.org/10.1216/rmjm/1181072155

zbMATH Keywords

Bessel polynomialsSobolev-type orthogonal polynomialsChristoffel-Darboux formulaeregular functionals

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

Some Extension of the bessel-type orthogonal polynomials, Some remarks on a paper by L. Carlitz, Relative asymptotics for orthogonal matrix polynomials, Differential equations of infinite order for Sobolev-type orthogonal polynomials, Jacobi-Sobolev-type orthogonal polynomials: Second-order differential equation and zeros, On Fourier series of a discrete Jacobi--Sobolev inner product

Cites Work

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• On Orthogonal Polynomials of Sobolev Type: Algebraic Properties and Zeros
• On Recurrence Relations for Sobolev Orthogonal Polynomials
• A New Class of Orthogonal Polynomials: The Bessel Polynomials