Partition Differential Equations and Some Combinatorial Algebraic Structures
Year: 2024
Type: article
Abstract: Let Λ be the algebra of symmetric functions. We introduce Stirling partitions, factorial partition polynomials, partition differential equations and their corresponding partitions, and partition primitive functions. Most importantly, this investigation provides a new combinatorial coalgebra structure on Λ, and it characterizes the primitive elements in Λ using the Jacobian determinants of partition primitive functions.
Source: Mathematics
DOI: 10.3390/math12223621
Author: Adnan Hashim Abdulwahid
Institution: Texas A&M University – Texarkana
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,955
OpenAlex ID: W4404537837