Jointly orthogonal polynomials
Giovanni Felder, Thomas Willwacher

TL;DR
This paper explores the extension of classical orthogonal polynomial theory to multiple inner products, including examples like Lamé and Heine-Stieltjes polynomials, broadening the scope of orthogonal polynomial research.
Contribution
It introduces a framework for orthogonal polynomials with respect to multiple inner products, expanding classical theory to new polynomial families.
Findings
Extended orthogonal polynomial theory to multiple inner products
Included examples such as Lamé and Heine-Stieltjes polynomials
Provided foundational insights for future research in this area
Abstract
The theory of polynomials orthogonal with respect to one inner product is classical. We discuss the extension of this theory to multiple inner products. Examples include the Lam\'e and Heine-Stieltjes polynomials.
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Taxonomy
TopicsMathematical functions and polynomials · Advanced Mathematical Identities · Matrix Theory and Algorithms
