TY - JOUR AU - Filon, L. N. G. AB - NOTE ON A PROBLEM OF EAMANUJAN. 818 Prof. Watson has since pointed out to me that it is probable that Ramanujan discovered his result by the following formal transforma- tions* :— The integral on the left of (3) is equal to ,00 po /•» g ^ j coa Jo Jo Jo 7T cosh** ar-f-r nt - dtdu = f e-* £TT sech frt Jo lt0 = e~' sech wafw = g(n), Jo by (2). MICAIAH JOHS MULLER HILL L . N. G. FILON. Micaiah John Muller Hill was the eldest son of the Rev. Samuel John Hill and was born at Berhampore, Bengal, on 22 February, 1856, during the stormy days of the Indian Mutiny, in which he narrowly escaped death. He was educated at the School for the Sons of Missionaries, Blackheath, and entered University College, London, as a student in October, 1872. His academic career in London was one long sequence of brilliant successes and at the same time an arduous struggle against financial difficulties which hs could overcome only by winning such scholarships as the College and the University of London had to offer in those days—rare and coveted distinctions which fell to the lot of TI - Micaiah John Muller Hill JF - Journal of the London Mathematical Society DO - 10.1112/jlms/s1-4.4.313 DA - 1929-10-01 UR - https://www.deepdyve.com/lp/wiley/micaiah-john-muller-hill-asswspimxD SP - 313 EP - 318 VL - s1-4 IS - 4 DP - DeepDyve ER -