most citedPoint potentials on Euclidean space, hyperbolic space and sphere in any dimension

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math.CA2025

A unified approach to hypergeometric class functions

Jan Dereziński

Hypergeometric class equations are given by second order differential operators in one variable whose coefficient at the second derivative is a polynomial of degree , at the…

math.CA2024

Confluent functions, Laguerre polynomials and their (generalized) bilinear integrals

Jan Dereziński, Christian Gaß, Joonas Mikael Vättö

We review properties of confluent functions and the closely related Laguerre polynomials, and determine their bilinear integrals. As is well-known, these integrals are convergent o…