Some remarks on a paper by L. Carlitz

DOI10.1016/j.cam.2005.11.023zbMath1115.33007arXivmath/0504476OpenAlexW1993318959MaRDI QIDQ2433786

Diego Ernesto Dominici

Publication date: 30 October 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504476

zbMATH Keywords

Sobolev orthogonal polynomialsSheffer polynomialsHypergeometric polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Special sequences and polynomials (11B83)

Related Items (2)

Non-classical orthogonality relations for big and little \(q\)-Jacobi polynomials ⋮ New orthogonality relations for the continuous and the discrete \(q\)-ultraspherical polynomials

Cites Work

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• The Meixner--Pollaczek polynomials and a system of orthogonal polynomials in a strip
• The Sobolev orthogonality and spectral analysis of the Laguerre polynomials \(\{L_{n}^{-k}\}\) for positive integers \(k\)
• Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
• Differential equations of infinite order for Sobolev-type orthogonal polynomials
• Some arithmetic properties of a special sequence of polynomials
• The numbers generated by \(\exp(\arctan X)\)
• On polynomials orthogonal with respect to certain Sobolev inner products
• On orthogonal polynomials with respect to an inner product involving derivatives: Zeros and recurrence relations
• Some arithmetic properties of a special sequence of polynomials in the Gaussian field
• Sobolev orthogonal polynomials and second-order differential equations
• Some properties of the Sobolev-Laguerre polynomials
• Sobolev orthogonality for the Gegenbauer polynomials \(\{ C_n^{-N+1/2}\}_{n\geq 0}\)
• Orthogonal polynomials on Sobolev spaces: Old and new directions
• An asymptotic result for Laguerre-Sobolev orthogonal polynomials
• Connection coefficients for Laguerre--Sobolev orthogonal polynomials.
• On asymptotic properties of Freud--Sobolev orthogonal polynomials.
• Non-standard orthogonality for Meixner polynomials
• Laguerre polynomials generalized to a certain discrete Sobolev inner product space
• A representation of Sheffer polynomials in terms of a differential equation for their generating functions
• Sobolev-type orthogonal polynomials on the unit circle.
• A generating function for Laguerre-Sobolev orthogonal polynomials.
• Bilinear semiclassical moment functionals and their integral representation
• Expansions in Laguerre polynomials of negative order
• Regular Sobolev type orthogonal polynomials: The Bessel case
• Differential equations and Sobolev orthogonality
• General Sobolev orthogonal polynomials
• Laguerre-Sobolev orthogonal polynomials
• Ratio and Plancherel-Rotach asymptotics for Meixner-Sobolev orthogonal polynomials
• A generalization of Favard's theorem for polynomials satisfying a recurrence relation
• Generalized Sheffer polynomials
• Some properties of polynomial sets of type zero
• Orthogonal polynomials with respect to a symmetric inner product involving derivatives
• A Simpler Characterization of Sheffer Polynomials
• Representations of Sheffer Polynomials
• On differential equations for Sobolev-type Laguerre polynomials
• Inner products involving differences: the meixner—sobolev polynomials
• Orthogonal Polynomials Associated with a Δ-Sobolev Inner Product
• ON A CHARACTERIZATION OF MEIXNER'S POLYNOMIALS
• Some applications of certain polynomial classes
• On the ``Favard theorem and its extensions

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