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A method to study the Krall andq-Krall polynomials

Authors
Journal
Journal of Computational and Applied Mathematics
0377-0427
Publisher
Elsevier
Publication Date
Volume
133
Identifiers
DOI: 10.1016/s0377-0427(00)00686-5
Keywords
  • Krall Polynomials
  • Q-Krall Polynomials
  • Littleq-Jacobi Polynomials

Abstract

Abstract We describe a method allowing to obtain new results in studying the Krall and q-Krall polynomials. In particular, we establish the criterion for orthogonal polynomials to be eigenfunctions of 2 Nth-order q-differential operator. This criterion is an exact q-analogue of corresponding Krall's criterion.

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