Leonard James Rogers FRS (30 March 1862, Oxford, England, – 12 September 1933, Oxford, England) was a British mathematician who was the first to discover the Rogers-Ramanujan identity and Hölder's inequality, and who introduced Rogers polynomials. The Rogers–Szegő polynomials are named after him.
From 1888 to 1919 he was Professor of Mathematics at the Yorkshire College (from 1904, the University of Leeds).
He was elected a fellow of the Royal Society in 1924. In the late 1920s, he published in The Mathematical Gazette four notes on geometrical problems, including on Malfatti's Problem.
- Rogers, L. J. (February 1888), "An extension of a certain theorem in inequalities", Messenger of Mathematics, New Series XVII (10): 145–150, JFM 20.0254.02, archived from the original on August 21, 2007, http://www.archive.org/stream/messengermathem01unkngoog#page/n183/mode/1up . The first paper containing Hölder's inequality.
- Rogers, L. J. (April 12, 1894), "Second Memoir on the Expansion of certain Infinite Products", Proceedings of the London Mathematical Society, s1 25 (1): 318–343, doi:10.1112/plms/s1-25.1.318, JFM 25.0432.01, archived from the original on Unspecified Date, http://www.archive.org/stream/proceedingslond17socigoog#page/n332/mode/1up . The first paper containing the Rogers-Ramanujan identities.