Mathematician:Alfred Cardew Dixon

Mathematician

English mathematician well known for his work in differential equations.

Did early work on Fredholm integral equations independently of Fredholm.

Worked both on ordinary differential equations and on partial differential equations studying Abelian integrals, automorphic functions, and functional equations.

Nationality

English

History

• Born: 22 May 1865 in Northallerton, Yorkshire, England
• Died: 4 May 1936 in Northwood, Middlesex, England

Theorems and Definitions

• Dixon's Elliptic Functions

• Dixon's Identity
• Dixon's Hypergeometric Theorem, also referred to as Dixon's Summation Theorem and (ambiguously) as Dixon's Theorem

Results named for Alfred Cardew Dixon can be found here.

Definitions of concepts named for Alfred Cardew Dixon can be found here.

Publications

• 1891: On the Sum of the Cubes of the Coefficients in a certain Expansion by the Binomial Theorem (Messenger Math. Vol. 20: pp. 79 – 80)

• 1894: The Elementary Properties of the Elliptic Functions

• 1903: Summation of a certain Series (Proc. London Math. Soc. Vol. 35: pp. 285 – 289)

Also known as

His full name and title were Sir Alfred Cardew Dixon, 1st Baronet Warford

Sources

• John J. O'Connor and Edmund F. Robertson: "Alfred Cardew Dixon": MacTutor History of Mathematics archive