What is $\dots$ a multiple orthogonal polynomial?

Abstract

This is an extended version of our note in the Notices of the American Mathematical Society 63 (2016), no. 9, in which we explain what multiple orthogonal polynomials are and where they appear in various applications.

5 pages, 2 figures

References in corpus (2)

• Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials
• An Algebraic Model for the Multiple Meixner Polynomials of the First Kind

Cited by in corpus (9)

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• Orthogonal and multiple orthogonal polynomials, random matrices, and Painlevé equations
• Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges
• Planar Orthogonal Polynomials As Type II Multiple Orthogonal Polynomials
• Multiple orthogonal polynomials, $d$-orthogonal polynomials, production matrices, and branched continued fractions
• Multiple Orthogonal Polynomials of two real variables
• Szegő Recurrence for Multiple Orthogonal Polynomials on the Unit Circle
• Determinantal approach to multiple orthogonal polynomials, and the corresponding integrable equations
• Zeros of Multiple Orthogonal Polynomials: Location and Interlacing