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arXiv · 2107.14278

Series reversion with Jacobi and Thron continued fractions

Paul Barry
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Abstract

Using ordinary and exponential generating functions, we explore the reversion of power series defined by $2$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.

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Paul Barry. 2021-07-29. Series reversion with Jacobi and Thron continued fractions. https://arxiv.org/abs/2107.14278

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