Rehman, Dr. Fazal, and Dhan Bir Limbu. “An Analytic Approximation of the Golden Ratio via a 24th-Root and Exponential Tail”. ACADEMIA International Journal for Social Sciences 4, no. 3 (October 6, 2025): 6241–6245. Accessed December 31, 2025. https://academia.edu.pk/index.php/Journals/article/view/1296.