Sathyanarayana, SumukhaSumukhaSathyanarayanaSharan, N. GuruN. GuruSharanDixit, AtulAtulDixit2025-08-282025-08-282025-02-01http://arxiv.org/abs/2502.02419http://repository.iitgn.ac.in/handle/IITG2025/20174A two-term functional equation for an infinite series involving the digamma function and a logarithmic factor is derived. A modular relation on page 220 of Ramanujan's Lost Notebook as well as a corresponding recent result for the derivative of Deninger's function are two main ingredients in its derivation. An interesting integral H(x), which is of independent interest, plays a prominent role in our functional equation. Several alternative representations for H(x) are obtained.en-USe-Print123456789/555