Infinite product of power series
arXiv:2301.07278
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.
17 pages