English

Orthogonal polynomials for the weight $x^{\nu} \exp(-x - t/x)$

Classical Analysis and ODEs 2021-05-14 v1

Abstract

Orthogonal polynomials for the weight xνexp(xt/x), x,t>0,νRx^{\nu} \exp(-x - t/x),\ x, t > 0, \nu \in \mathbb{R} are investigated. Differential-difference equations, recurrence relations, explicit representations, generating functions and Rodrigues-type formula are obtained.

Keywords

Cite

@article{arxiv.2105.06321,
  title  = {Orthogonal polynomials for the weight $x^{\nu} \exp(-x - t/x)$},
  author = {Semyon Yakubovich},
  journal= {arXiv preprint arXiv:2105.06321},
  year   = {2021}
}
R2 v1 2026-06-24T02:04:50.086Z