Series reversion with Jacobi and Thron continued fractions
Number Theory
2021-08-02 v1 Combinatorics
Abstract
Using ordinary and exponential generating functions, we explore the reversion of power series defined by nd order recurrences. We express the reversions in terms of Jacobi and Thron continued fractions. We find relations with Eulerian expressions using a transformation of continued fractions.
Cite
@article{arxiv.2107.14278,
title = {Series reversion with Jacobi and Thron continued fractions},
author = {Paul Barry},
journal= {arXiv preprint arXiv:2107.14278},
year = {2021}
}
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26 Pages