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The Classical Orthogonal Polynomials

  • Arnold F. Nikiforov
  • Vasilii B. Uvarov

Abstract

In §2 we introduced the polynomials y n (z) of hypergeometric type, which are solutions of
$$\sigma \left( z \right)y'' + \tau \left( z \right)y' + \lambda y = 0$$
(1)
with \(\lambda = {\lambda _n} = - n\tau ' - \frac{1}{2}n\left( {n - 1} \right)\sigma ''\)

Keywords

Orthogonal Polynomial Spherical Harmonic Hermite Polynomial Jacobi Polynomial Polynomial Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel AG 1988

Authors and Affiliations

  • Arnold F. Nikiforov
    • 1
  • Vasilii B. Uvarov
    • 1
  1. 1.M.V. Keldish Institute of Applied Mathematics of the Academy of Sciences of the USSRMoscowUSSR

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