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In this paper, we demonstrate new infinite product formulas that converge to well-known mathematical constants, including e, π, Γ(1/4), the Glaisher-Kinkelin constant, Catalan’s constant, and Apéry’s constant. Additionally, we show how exponentiation to the n-th power of the functions inside the products transform the mentioned constants.
Antonio Gracia Llorente (Mon,) studied this question.