INTEGRATING THE GOLDEN RATIO INTO THE EULER’S IDENTITY: TOWARD A NEW AUGMENTED FORMULA AND BEYOND

INTEGRATING THE GOLDEN RATIO INTO THE EULER’S IDENTITY: TOWARD A NEW AUGMENTED
FORMULA AND BEYOND

By: Dr. Brahim MANSOURI, Professor of economics, Cadi
Ayyad University of Marrakech, Morocco.
Email: [email protected]

This research paper tries to augment the Euler’s identity, especially through the incorporation of the golden ratio (phi). The ultimate output would be a new formula with six fundamental constants: pi, e, i, 1, 0, and phi.
In the first section of the paper, we mainly center on the Euler’s formula and identity, as bridges towards the incorporation of the golden number into the ultimate formula. In the second section, we explain how we proceed to augment the Euler’s identity and construct a new fundamental constant, using the well-known decimal logarithm.
To read the complete paper, please follow the Research Gate link hereafter:
https://www.researchgate.net/publication/334495337_INTEGRATING_THE_GOLDEN_RATIO_INTO_THE_EULER S_IDENTITY_TOWARD_A_NEW_AUGMENTED_FORMULA_AND_BEYOND

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