Sobolev Freud polynomials
Mohamed Bouali
TL;DR
This paper studies the asymptotic behavior and recurrence relations of Sobolev orthogonal polynomials, establishing connections with Freud polynomials and providing foundational results for their analysis.
Contribution
It introduces new recurrence relations linking Sobolev and Freud orthogonal polynomials and analyzes their uniform asymptotic behavior.
Findings
Derived a three-term recurrence relation for Sobolev orthogonal polynomials.
Established a recurrence relation between Sobolev and Freud orthogonal polynomials.
Analyzed the uniform asymptotic behavior of Sobolev orthogonal polynomials.
Abstract
We investigate the uniform asymptotic of some Sobolev orthogonal polynomials. Three term recurrence relation is given, moreover we give a recurrence relation between the so-called Sobolev orthogonal polynomials and Freud orthogonal polynomials.
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Taxonomy
TopicsMathematical functions and polynomials · Iterative Methods for Nonlinear Equations · Matrix Theory and Algorithms