TL;DR
This paper introduces a new representation of q-calculus and proposes a dual q-integral, advancing the mathematical framework of q-calculus.
Contribution
It provides a novel representation and a dual integral for q-calculus, expanding its theoretical foundation.
Findings
New q-calculus representation derived
A dual q-integral formulation proposed
Enhances mathematical tools for q-calculus analysis
Abstract
In this study, a new representation is obtained for \emph{q}-calculus, as proposed by Borges [Phyica A 340 (2004) 95], and a new dual \emph{q}-integral is suggested.
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Taxonomy
TopicsStatistical Mechanics and Entropy · Mathematical and Theoretical Analysis · Probability and Statistical Research