Geodesic
Non-standard orthogonality for Meixner polynomials
Electronic transactions on numerical analysis, Tome 9 (1999), pp. 1-25.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this work, we obtain a non-standard orthogonality property for Meixner polynomials $M(\gamma ,\mu )$ n n$\geq 0$, with $0 \mu 1$ and $\gamma \in $, that is, we show that they are orthogonal with respect to some Ê discrete inner product involving difference operators. The non-standard orthogonality can be used to recover properties of these Meixner polynomials, e. g., linear relations for the classical Meixner polynomials.
Classification : 33C45
Keywords: meixner polynomials, inner product involving difference operators, non-standard orthogonality 
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     author = {\'Alvarez de Morales, Mar{\'\i}a and P\'erez, Teresa E. and Pi\~nar, Miguel A. and Ronveaux, Andr\'e},
     title = {Non-standard orthogonality for {Meixner} polynomials},
     journal = {Electronic transactions on numerical analysis},
     pages = {1--25},
     publisher = {mathdoc},
     volume = {9},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1999__9__a11/}
}
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Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André. Non-standard orthogonality for Meixner polynomials. Electronic transactions on numerical analysis, Tome 9 (1999), pp. 1-25. http://geodesic.mathdoc.fr/item/ETNA_1999__9__a11/