Work

Generalization of Pascal's Rule and Leibniz's Rule for Differentiation

Year: 2017

Type: article

Abstract: We generalize the combinatorial identity for binomial coefficients underlying the construction of Pascal's Triangle to multinomial coefficients underlying the construction of Pascal's Simplex. Using this identity, we present a new proof of the formula for calculating the nth derivative of the product of k functions, a generalization of Leibniz's Rule for differentiation.

Source: Rose-Hulman Scholar (Rose–Hulman Institute of Technology)

Author: Rajeshwari Majumdar

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2745604126

FWCI:

Cites: 2

Cited by: 1

Related to: 10