What question did this study set out to answer?

To investigate foundational tools for quantum calculus using Tsallis' q-exponential.

March 12, 2026

Tsallis’ q -analysis, new scales of interpolating spaces, and q -rational functions

Key Points

To investigate foundational tools for quantum calculus using Tsallis' q-exponential.
Studied q-Fock spaces to establish foundational principles.
Explored structural identities relevant to the q-analysis.
Analyzed rational functions within the quantum calculus framework.
Identified key structural identities that underpin q-Fock spaces.
Showed how q-exponential functions can be utilized in rational functions.
Proposed new scales for interpolating spaces using Tsallis methods.

Abstract

In this paper we are studying the fundamental tools for a quantum calculus based on the Tsallis q-exponential In particular we are looking at q-Fock spaces, structural identities, as well as rational functions in this context.

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