ProofWiki:Mathematicians/Leonard James Rogers

English mathematician famous for the Rogers-Ramanujan Identities and for proving a special case of Hölder's inequality.

Nationality

English

History

• Born: 30 March 1862, Oxford, England
• Died: 12 Sept 1933, Oxford, England

Theorems and Definitions

• Rogers-Ramanujan Identities (independently of Srinivasa Ramanujan)
• Rogers-Ramanujan Continued Fraction (independently of Srinivasa Ramanujan)
• Rogers Transformation
• Rogers Inequality (a special case of Hölder's Inequality)

Books and Papers

• 1888: An extension of a certain theorem in inequalities in Messenger of math 17 145-150 (in which Hölder's inequality appears)
• 1894: Second memoir on the expansion of certain infinite products in Proceedings of the London Mathematical Society, 25, pp 318-343 (in which appear the Rogers-Ramanujan Identities)

Also see

• John J. O'Connor and Edmund F. Robertson: "Leonard James Rogers": MacTutor History of Mathematics archive