Pascal like matrices - an accessible factory of one source identities and resulting applications
A. K. Kwasniewski
TL;DR
This paper introduces a generalized class of Pascal-like matrices over any field of zero characteristic, demonstrating their potential as a unified source for mathematical identities and applications.
Contribution
It extends Pascal-like matrices to arbitrary fields of zero characteristic, revealing their properties as a versatile source of identities and applications.
Findings
New properties of Pascal-like matrices over arbitrary fields
A unified framework for generating mathematical identities
Potential applications in various mathematical fields
Abstract
The extension of pascalian like matrices depending on a variable from any field of zero characteristics are shown at work for the first time. Their properties appear to be one source factory of identities and resulting foreseen applications
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Taxonomy
TopicsMatrix Theory and Algorithms · Numerical Methods and Algorithms