Brought to you by:

Deformation of the three-term recursion relation and generation of new orthogonal polynomials

Published 15 October 2002 • Published under licence by IOP Publishing Ltd
, , Citation A D Alhaidari 2002 J. Phys. A: Math. Gen. 35 9071 DOI 10.1088/0305-4470/35/43/307

Download Article PDF

Article metrics

68 Total downloads

Share this article

Author affiliations

1 Physics Department, King Fahd University of Petroleum and Minerals, Box 5047, Dhahran 31261, Saudi Arabia

Dates

  1. Received 25 April 2002
  2. Published

Buy this article in print

0305-4470/35/43/9071

Abstract

We find solutions for a linear deformation of the three-term recursion relation. The orthogonal polynomials of the first and second kind associated with the deformed relation are obtained. The new density (weight) function is written in terms of the original one and the deformation parameters.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue
Please wait… references are loading.
10.1088/0305-4470/35/43/307