Yulian-Karl Vasilievich Sokhotsky

Born: 5 Feb (24 Jan. Julian style) 1842 in Warsaw, Poland
Died: 14 Dec 1927 in Leningrad, USSR (now St Petersburg, Russia)

Vice-President of the St. Petersburg Mathematical Society (1890--1892), President (1892--190?).

See a Russian article from the Brokhaus & Efron Dictionary


Sokhotsky entered the Warsaw state gymnasium for primary education in 1850. In 1860 he enrolled in the Physics and Mathematics Faculty at the University of St Petersburg. He was awarded his Master's Degree in 1867 for a dissertation Theory of integrals with applications. In this thesis Sokhotsky discussed the Cauchy integral and the theory of analytic functions, which he called "single-valued".

He received a doctorate from St Petersburg in 1873. His doctoral dissertation On definite integrals and functions with application in expansion of series was an early investigation of the theory of singular integral equations. It investigated in detail Cauchy-type integrals which played an important role in boundary value problems in the theory of functions of a complex variable.

Sokhotsky became a professor at the University of St Petersburg in 1883. Influenced by Chebyshev, he studied special functions, in particular Jacobi polynomials and Lamé functions. His work is important in the development of the theory of functions, in particular having applications in the theory of hypergeometric series and differential equations.

Other topics Sokhotsky studied included Zolotarev's theory of divisibility of algebraic numbers.

List of References

Article by: J.J. O'Connor and E.F. Robertson
Source:       MacTutor History of Mathematics archive