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math.CA2026
The Opdam-Cherednik kernel is the Laplace transform of a positive measure
Colin McSwiggen, Siddhartha Sahi
We prove that the Opdam-Cherednik kernel, also known as the nonsymmetric Opdam hypergeometric function, can be written as the Laplace transform of a positive measure supported on t…
math.CA2024★ 1 cited
On the classification of hypergeometric families of orthogonal polynomials on the real line
Joseph Bernstein, Dmitry Gourevitch, Siddhartha Sahi
Several important families of orthogonal polynomials on the real line are called ``hypergeometric'' since they can be explicitly described in terms of some hypergeometric series $_…