New biorthogonal sequences generated by index integrals of the weight functions
Classical Analysis and ODEs
2026-01-07 v1
Abstract
We exhibit new biorthogonal sequences generated by index integrals of the squares of the modified Bessel functions and gamma functions. The composition orthogonality, involving differential operators is employed. Generalized Wilson polynomials are introduced. Some properties are investigated.
Keywords
Cite
@article{arxiv.2601.02866,
title = {New biorthogonal sequences generated by index integrals of the weight functions},
author = {Semyon Yakubovich},
journal= {arXiv preprint arXiv:2601.02866},
year = {2026}
}