# Explicit asymptotic formulae for sub exponentially growing multiplicative structures

## TL;DR

This paper derives explicit asymptotic formulas for the coefficients of generating functions associated with multiplicative structures that grow subexponentially, providing precise estimates as n approaches infinity.

## Contribution

It introduces explicit asymptotic expressions for coefficients of generating functions for subexponentially growing multiplicative structures, advancing understanding of their growth behavior.

## Key findings

- Derived explicit asymptotic formulas for coefficients
- Applicable to multiplicative structures with subexponential growth
- Provides precise estimates as n tends to infinity

## Abstract

It is derived the explicit asymptotic expression in $n$ for the coefficient $c_n$ of the generating function for multiplicative structures with sub exponential rate of growth of $c_n,$ as $n\to\infty$.