A note on Krawtchouk polynomials and Riordan arrays
Journal of integer sequences, Tome 11 (2008) no. 2
We study links between Krawtchouk polynomials and Riordan arrays of both the ordinary kind and the exponential kind. We derive summation formulas for values of the Krawtchouk polynomials using the A-sequences of the Riordan arrays.
Keywords:
krawtchouk polynomials, orthogonal polynomials, riordan arrays, integer sequences
@article{JIS_2008__11_2_a6,
author = {Barry, Paul},
title = {A note on {Krawtchouk} polynomials and {Riordan} arrays},
journal = {Journal of integer sequences},
year = {2008},
volume = {11},
number = {2},
zbl = {1152.33310},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2008__11_2_a6/}
}
Barry, Paul. A note on Krawtchouk polynomials and Riordan arrays. Journal of integer sequences, Tome 11 (2008) no. 2. http://geodesic.mathdoc.fr/item/JIS_2008__11_2_a6/