Orthogonality conditions and recurrence relations are presented for generalized Krawtchouk polynomials. Coefficients are evaluated for the expansion of an arbitrary polynomial in terms of these polynomials and certain special values for generalized Krawtchouk polynomials are obtained. Summations of some of these polynomials and of certain products are also considered.
@article{107713,
author = {Norris Sookoo},
title = {Generalized Krawtchouk polynomials: New properties},
journal = {Archivum Mathematicum},
volume = {036},
year = {2000},
pages = {9-16},
zbl = {1055.33011},
mrnumber = {1751609},
language = {en},
url = {http://dml.mathdoc.fr/item/107713}
}
Sookoo, Norris. Generalized Krawtchouk polynomials: New properties. Archivum Mathematicum, Tome 036 (2000) pp. 9-16. http://gdmltest.u-ga.fr/item/107713/
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Generalized Krawtchouk polynomials, under review. | Zbl 1055.33011