Dixit, AtulAtulDixitSathyanarayana, SumukhaSumukhaSathyanarayanaSharan, N. GuruN. GuruSharan2025-08-312025-08-312025-07-0110.1007/s11139-025-01125-32-s2.0-105005988667https://d8.irins.org/handle/IITG2025/28079A two-term functional equation for an infinite series involving the digamma function and a logarithmic factor is derived. A modular relation on p. 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.falseGeneralized digamma functions | Modular relation | Ramanujan’s transformationArticle15729303July 2025055arJournal0WOS:001493468000001