Infinite product of power series
Combinatorics
2024-11-05 v4
Abstract
We give an exact coefficients formula of any infinite product of power series with constant term equal to , by using structures from partitions of integers and permutation groups. This is an universal theorem for various of Binomial-type theorems in many sense. In particular, we give the new formulas as the double counting of Bell polynomial, Binomial Theorem and Multinomial Theorem.
Keywords
Cite
@article{arxiv.2301.07278,
title = {Infinite product of power series},
author = {Kui-Yo Chen and Zhong-Tang Wu},
journal= {arXiv preprint arXiv:2301.07278},
year = {2024}
}
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17 pages