Original Handwritten Derivation of a Novel Hypergeometric Series Representation for Catalan's Constant

This document contains an original handwritten derivation I developed in 2022 of a novel infinite series involving gamma functions and factorials that converges to Catalan’s constant G. After cross-checking against major references (Abramowitz & Stegun, Gradshteyn & Ryzhik, Slater), I found no matching identity. This upload serves to formally document authorship and establish a timestamp through a DOI. A typeset version with full derivation and analysis will be added in a subsequent version.