Affiliation:
1. School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
Abstract
In this paper, we are concerned with polynomials that are orthogonal with respect to the singularly perturbed Freud weight functions. By using Chen and Ismail’s ladder operator approach, we derive the difference equations and differential-difference equations satisfied by the recurrence coefficients. We also obtain the differential-difference equations and the second-order differential equations for the orthogonal polynomials, with the coefficients all expressed in terms of the recurrence coefficients.
Funder
National Natural Science Foundation of China
Fundamental Research Funds for the Central Universities
Scientific Research Funds of Huaqiao University
Subject
General Physics and Astronomy
Cited by
2 articles.
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