A generating function for Laguerre–Sobolev orthogonal polynomials

Author:

Meijer H.G.,Piñar M.A.

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference13 articles.

1. J. Brenner, Über eine Erweiterung des Orthogonalitätsbegriffes bei Polynomen, in: G. Alexits, S.B. Stechkin (Eds.), Constructive Theory of Functions, Akadémiai Kiadó, Budapest, 1972, pp. 77–83.

2. An Introduction to Orthogonal Polynomials;Chiara,1978

3. A. Erdélyi, W. Magnus, F. Oberhettinger, G. Tricomi, Higher Transcendental Functions, The Bateman Manuscript Project, Vol. 1, McGraw-Hill, New York, 1953.

4. On polynomials orthogonal with respect to certain Sobolev inner products;Iserles;J. Approx. Theory,1991

5. Orthogonal polynomials on Sobolev spaces;Marcellán;J. Comput. Appl. Math.,1993

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1. A generating function for nonstandard orthogonal polynomials involving differences: the Meixner case;The Ramanujan Journal;2011-02-25

2. A Cohen-Type Inequality for Fourier Expansions with Respect to Non-Discrete Laguerre–Sobolev Inner Product;Numerical Functional Analysis and Optimization;2010-11-19

3. Exponential generating functions for the associated Bessel functions;Journal of Physics A: Mathematical and Theoretical;2008-08-26

4. Some remarks on a paper by L. Carlitz;Journal of Computational and Applied Mathematics;2007-01

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