Mathematician:Leonard James Rogers

Mathematician

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 Aiyangar Ramanujan)
• Rogers-Ramanujan Continued Fraction (independently of Srinivasa Aiyangar Ramanujan)

• Rogers Inequality (a special case of Hölder's Inequality for Sums)

• Rogers Transformation
• Rogers-Szegő Polynomial (with Gábor Szegő)

Results named for Leonard James Rogers can be found here.

Definitions of concepts named for Leonard James Rogers can be found here.

Publications

• 1888: An extension of a certain theorem in inequalities (Messenger Math. Vol. 17: pp. 145 – 150) (in which Hölder's Inequality for Sums is presented)
• 1894: Second memoir on the expansion of certain infinite products (Proc. London Math. Soc. Vol. 25: pp. 318 – 343) (in which Rogers-Ramanujan Identities is presented)
• 1894: Third memoir on the expansion of certain infinite products (Proc. London Math. Soc. Vol. 26: pp. 15 – 32)

Sources

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