W. Casper

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20172020

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math.CA2019

Reflective prolate-spheroidal operators and the KP/KdV equations

W. Riley Casper, F. Alberto Grunbaum, Milen Yakimov +1

Commuting integral and differential operators connect the topics of Signal Processing, Random Matrix Theory, and Integrable Systems. Previously, the construction of such pairs was…

math.CA2019

The Symmetric $2 \times 2$ Hypergeometric Matrix Differential Operators

W. Riley Casper

We obtain an explicit classification of all $2 \times 2$ real hypergeometric Bochner pairs, ie. pairs $(W (x), D)$ consisting of a $2 \times 2$ real hypergeometric different…

Reflective prolate-spheroidal operators and the KP/KdV equations

The Symmetric 2×2 Hypergeometric Matrix Differential Operators

The Symmetric $2 \times 2$ Hypergeometric Matrix Differential Operators