Generalized Krawtchouk polynomials: New properties
Archivum Mathematicum (2000)
- Volume: 036, Issue: 1, page 9-16
- ISSN: 0044-8753
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topSookoo, Norris. "Generalized Krawtchouk polynomials: New properties." Archivum Mathematicum 036.1 (2000): 9-16. <http://eudml.org/doc/248533>.
@article{Sookoo2000,
abstract = {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.},
author = {Sookoo, Norris},
journal = {Archivum Mathematicum},
keywords = {orthogonality; recurrence relations; series; orthogonality; recurrence relations; series},
language = {eng},
number = {1},
pages = {9-16},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Generalized Krawtchouk polynomials: New properties},
url = {http://eudml.org/doc/248533},
volume = {036},
year = {2000},
}
TY - JOUR
AU - Sookoo, Norris
TI - Generalized Krawtchouk polynomials: New properties
JO - Archivum Mathematicum
PY - 2000
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 036
IS - 1
SP - 9
EP - 16
AB - 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.
LA - eng
KW - orthogonality; recurrence relations; series; orthogonality; recurrence relations; series
UR - http://eudml.org/doc/248533
ER -
References
top- The MacWilliams identities for nonlinear codes, Bell Syst. Tech. J. 51 (1972), 803–819. MR0309653
- The Theory of Error-Correcting Codes, North-Holand Publishing Company, New York, 1978.
- Generalized Krawtchouk polynomials, under review. Zbl1055.33011
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