Geodesic
Generalized Krawtchouk polynomials: New properties
Archivum mathematicum, Tome 36 (2000) no. 1, pp. 9-16

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
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.
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.
Classification : 33C45
Keywords: orthogonality; recurrence relations; series 
Sookoo, Norris. Generalized Krawtchouk polynomials: New properties. Archivum mathematicum, Tome 36 (2000) no. 1, pp. 9-16. http://geodesic.mathdoc.fr/item/ARM_2000_36_1_a1/
@article{ARM_2000_36_1_a1,
     author = {Sookoo, Norris},
     title = {Generalized {Krawtchouk} polynomials: {New} properties},
     journal = {Archivum mathematicum},
     pages = {9--16},
     year = {2000},
     volume = {36},
     number = {1},
     mrnumber = {1751609},
     zbl = {1055.33011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2000_36_1_a1/}
}
TY  - JOUR
AU  - Sookoo, Norris
TI  - Generalized Krawtchouk polynomials: New properties
JO  - Archivum mathematicum
PY  - 2000
SP  - 9
EP  - 16
VL  - 36
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ARM_2000_36_1_a1/
LA  - en
ID  - ARM_2000_36_1_a1
ER  - 
%0 Journal Article
%A Sookoo, Norris
%T Generalized Krawtchouk polynomials: New properties
%J Archivum mathematicum
%D 2000
%P 9-16
%V 36
%N 1
%U http://geodesic.mathdoc.fr/item/ARM_2000_36_1_a1/
%G en
%F ARM_2000_36_1_a1

[1] MacWilliams, F. J., Sloane, N. J. A. and Goethals, J. M.: The MacWilliams identities for nonlinear codes. Bell Syst. Tech. J. 51 (1972), 803–819. | MR

[2] MacWilliams, F.J. and Sloane, N. J. A.: The Theory of Error-Correcting Codes. North-Holand Publishing Company, New York, 1978.

[3] Sookoo, N.: Generalized Krawtchouk polynomials. under review. | Zbl