连续哈恩多项式

连续哈恩多项式由下列超几何函数定义:

Continuous Hahn Polynomials
Continuous Hahn Polynomials


参考文献

  • Hahn, Wolfgang, Über Orthogonalpolynome, die q-Differenzengleichungen genügen, Mathematische Nachrichten, 1949, 2: 4–34, ISSN 0025-584X, MR 0030647, doi:10.1002/mana.19490020103 
  • Koekoek, Roelof; Lesky, Peter A.; Swarttouw, René F., Hypergeometric orthogonal polynomials and their q-analogues, Springer Monographs in Mathematics, Berlin, New York: Springer-Verlag, 2010, ISBN 978-3-642-05013-8, MR 2656096, doi:10.1007/978-3-642-05014-5 
  • Koornwinder, Tom H.; Wong, Roderick S. C.; Koekoek, Roelof; Swarttouw, René F., Hahn Class: Definitions, Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (编), NIST Handbook of Mathematical Functions, Cambridge University Press, 2010, ISBN 978-0521192255, MR2723248