3 papers
math.CA2026
Yet Another Characterisation of Classical Orthogonal Polynomials?
K. Castillo, G. Gordillo-Núñez
The NIST Handbook of Mathematical Functions (2010) and the NIST Digital Library of Mathematical Functions (2025) classify classical orthogonal polynomials through Bochner's 1929 al…
math.CA2026
Wendroff's theorem beyond consecutive degrees and related inverse spectral problems
K. Castillo, G. Gordillo-Núñez
A classical theorem of Wendroff shows that one may reconstructs a sequence of orthogonal polynomials on the real line from two non-constant polynomials of consecutive degrees whose…
math.CA2024
The Nikiforov-Uvarov method
Guillermo Gordillo-Núñez
We review the so-called Nikiforov-Uvarov method along with some basic results about classical orthogonal polynomials and hypergeometric functions related to the hypergeometric diff…