A Simple Limit–Product Formula for Glaisher’s Constant
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This paper provides a detailed derivation of a limit identity representing theGlaisher-Kinkelin constant (A). This identity is notable as it is expressed via aninfinite product whose factors do not explicitly involve the fundamental constants πor e. The derivation utilizes logarithmic manipulation, asymptotic analysis involvingthe Psi function, and the evaluation of specific infinite series related to the RiemannZeta function.
