Work

The Machado Function: A New Mathematical Function

Year: 2026

Type: article

Abstract: The Machado Function is a new mathematical function defined by a recurrence relation with dissipative memory. It has a fundamental property: a natural boundary that divides its domain into two regions of distinct behavior — convergent and divergent. The function has a stable minimum in its convergent region and has no zeros in its critical region. The Machado Function is a mathematical object in its own right.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.21905303

Author: Sergio Machado

Language: Portuguese

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7202272108

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