Geodesic
Non-standard orthogonality for Meixner polynomials
Electronic transactions on numerical analysis, Tome 9 (1999), pp. 1-25
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 
@article{ETNA_1999__9__a11,
     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},
     year = {1999},
     volume = {9},
     zbl = {0949.33004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1999__9__a11/}
}
TY  - JOUR
AU  - Álvarez de Morales,  María
AU  - Pérez,  Teresa E.
AU  - Piñar,  Miguel A.
AU  - Ronveaux,  André
TI  - Non-standard orthogonality for Meixner polynomials
JO  - Electronic transactions on numerical analysis
PY  - 1999
SP  - 1
EP  - 25
VL  - 9
UR  - http://geodesic.mathdoc.fr/item/ETNA_1999__9__a11/
LA  - en
ID  - ETNA_1999__9__a11
ER  - 
%0 Journal Article
%A Álvarez de Morales,  María
%A Pérez,  Teresa E.
%A Piñar,  Miguel A.
%A Ronveaux,  André
%T Non-standard orthogonality for Meixner polynomials
%J Electronic transactions on numerical analysis
%D 1999
%P 1-25
%V 9
%U http://geodesic.mathdoc.fr/item/ETNA_1999__9__a11/
%G en
%F ETNA_1999__9__a11
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/