Leonard James Rogers
Encyclopedia
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
.
.. The first paper containing the Rogers-Ramanujan identities
.
Royal Society
The Royal Society of London for Improving Natural Knowledge, known simply as the Royal Society, is a learned society for science, and is possibly the oldest such society in existence. Founded in November 1660, it was granted a Royal Charter by King Charles II as the "Royal Society of London"...
(30 March 1862, Oxford, England, – 12 September 1933, Oxford, England) was a British
United Kingdom
The United Kingdom of Great Britain and Northern IrelandIn the United Kingdom and Dependencies, other languages have been officially recognised as legitimate autochthonous languages under the European Charter for Regional or Minority Languages...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
who was the first to discover the Rogers-Ramanujan identity and Hölder's inequality
Hölder's inequality
In mathematical analysis Hölder's inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the study of Lp spaces....
, and who introduced Rogers polynomials
Rogers polynomials
In mathematics, the Rogers polynomials, also called Rogers–Askey–Ismail polynomials and continuous q-ultraspherical polynomials, are a family of orthogonal polynomials introduced by in the course of his work on the Rogers–Ramanujan identities...
. 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
University of Leeds
The University of Leeds is a British Redbrick university located in the city of Leeds, West Yorkshire, England...
).
He was elected a fellow of the Royal Society
Royal Society
The Royal Society of London for Improving Natural Knowledge, known simply as the Royal Society, is a learned society for science, and is possibly the oldest such society in existence. Founded in November 1660, it was granted a Royal Charter by King Charles II as the "Royal Society of London"...
in 1924. In the late 1920s, he published in The Mathematical Gazette four notes on geometrical problems, including on Malfatti's Problem
Malfatti circles
In geometry, the Malfatti circles are three circles inside a given triangle such that each circle is tangent to the other two and to two sides of the triangle...
.
Publications
. The first paper containing Hölder's inequalityHölder's inequality
In mathematical analysis Hölder's inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the study of Lp spaces....
.. The first paper containing the Rogers-Ramanujan identities
Rogers-Ramanujan identities
In mathematics, the Rogers–Ramanujan identities are two identities related to basic hypergeometric series, first discovered and proved by . They were subsequently rediscovered by Srinivasa Ramanujan some time before 1913. Ramanujan had no proof, but rediscovered Rogers's paper in 1917, and they...
.