Explicit Formula for the n-th Derivative of a Quotient
Classical Analysis and ODEs
2023-04-18 v4 Combinatorics
Abstract
Leibniz's rule for the -th derivative of a product is a very well known and extremely useful formula. In this article, we introduce an analogous explicit formula for the -th derivative of a quotient of two functions. Later, we use this formula to derive new partition identities and to develop expressions for some special -th derivatives.
Cite
@article{arxiv.2104.07024,
title = {Explicit Formula for the n-th Derivative of a Quotient},
author = {Roudy El Haddad},
journal= {arXiv preprint arXiv:2104.07024},
year = {2023}
}
Comments
11 pages