Kravchuk polynomials
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Kravchuk polynomials or Krawtchouk polynomials are classical orthogonal polynomials associated with the binomial distribution, introduced by the Ukrainian mathematician Mikhail Kravchuk in 1929.[1]
The first few polynomials are:
The Kravchuk polynomials are a special case of the Meixner polynomials of the first kind.
[edit] References
- ^ Sur une généralisation des polynomes d'Hermite. Note de M.Krawtchouk, C.R.Acad. Sci. 1929. T.189, No.17. P.620 - 622.
- Nikiforov, A. F., Suslov, S. K. and Uvarov, V. B., "Classical Orthogonal Polynomials of a Discrete Variable". Springer-Verlag, Berlin-Heidelberg-New York, 1991.