On a conjecture about Dirac's delta representation using q-exponentials

TL;DR

This paper proves a recent conjecture that a new representation of the Dirac delta distribution using q-exponentials is valid, advancing the mathematical understanding of delta functions.

Contribution

The paper provides a rigorous proof confirming the validity of a novel delta distribution representation based on q-exponentials, previously only conjectured.

Findings

The conjecture about q-exponential representation of delta is proven.

The new representation is mathematically consistent.

This work confirms the validity of the proposed delta representation.

Abstract

A new representation of Dirac's delta-distribution, based on the so-called q-exponentials, has been recently conjectured. We prove here that this conjecture is indeed valid.