Hahn polynomials

The Hahn polynomials are a set of orthogonal polynomials in the Askey scheme. They were introduced in 1875 by Chebyshev and rediscovered in 1949 by Wolfgang Hahn.

Definition

The Hahn polynomials can be defined by using the hypergeometric function as follows:

Credentials

  • Eric W. Weisstein: Hahn polynomial. In: MathWorld (English).
  • Chebyshev, P. ( 1907), " Sur l' interpolation of valeurs équidistantes " in Markoff, A.; Sonin, N., Oeuvres de P. L. Tchebychef, 2, pp. 219-242
  • Hahn, Wolfgang ( 1949), "On orthogonal polynomials satisfying q -difference equations ", Math News 2: 4-34
  • Koekoek, Roelof; Lesky, Peter A.; Swarttouw, René F. (2010), Hypergeometric orthogonal polynomials and Their q- analogues, Springer Monographs in Mathematics, Berlin, New York: Springer -Verlag, ISBN 978-3-642-05013-8
  • Koornwinder, Tom H.; Wong, Roderick S. C.; Koekoek, Roelof; Swarttouw, René F. (2010), " Hahn Class: Definitions", in Olver, Frank WJ; Lozier, Daniel M.; Boisvert, Ronald F. et al., NIST Handbook of Mathematical Functions, Cambridge University Press, ISBN 978-0521192255
  • Analysis
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