2019 / 7 / 25
INTEGRATING THE GOLDEN RATIO INTO THE EULERíS IDENTITY: TOWARD A NEW AUGMENTED
FORMULA AND BEYOND
By: Dr. Brahim MANSOURI, Professor of economics, Cadi
Ayyad University of Marrakech, Morocco.
This research paper tries to augment the Eulerís 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 Eulerís 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 Eulerís 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: