Branching Formula for $q$-Toda Function of Type B
Quantum Algebra
2025-10-20 v2 Mathematical Physics
Combinatorics
math.MP
Abstract
We present a proof of the explicit formula for the asymptotically free eigenfunctions of the -Toda operator which was conjectured by the first and third authors. This formula can be regarded as a branching formula from the -Toda eigenfunction restricted to the -Toda eigenfunctions. The proof is given by a contigulation relation of the Toda eigenfunctions and a recursion relation of the branching coefficients.
Cite
@article{arxiv.2103.04378,
title = {Branching Formula for $q$-Toda Function of Type B},
author = {Ayumu Hoshino and Yusuke Ohkubo and Jun'ichi Shiraishi},
journal= {arXiv preprint arXiv:2103.04378},
year = {2025}
}
Comments
7 pages