BIT Numerical Mathematics

, Volume 24, Issue 4, pp 473–483

On some orthogonal polynomials of interest in theoretical chemistry

  • Walter Gautschi

DOI: 10.1007/BF01934906

Cite this article as:
Gautschi, W. BIT (1984) 24: 473. doi:10.1007/BF01934906


Constructive methods are developed for a class of polynomials orthogonal on two symmetric intervals. An analysis is given of certain phenomena of instability in connection with nonlinear recursions. Special cases arising in the study of the diatomic linear chain are worked out explicitly. In one of these cases the associatedn-point Gauss-Christoffel quadrature formula has equal weights whenevern is even.

Copyright information

© BIT Foundations 1984

Authors and Affiliations

  • Walter Gautschi
    • 1
  1. 1.Purdue UniversityWest LafayetteUSA