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A note on Krawtchouk polynomials and Riordan arrays. (English) Zbl 1152.33310
Summary: 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.
MSC:
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
11B83 Special sequences and polynomials
11C20 Matrices, determinants in number theory
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