Nikolai Andreevich Lebedev (russian: Никола́й Андре́евич Ле́бедев; August 8, 1919 – January 8, 1982) was a Soviet mathematician who worked on
complex function theory
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is helpful in many branches of mathematics, including algebraic ...
and
geometric function theory
Geometric function theory is the study of geometric properties of analytic functions. A fundamental result in the theory is the Riemann mapping theorem.
Topics in geometric function theory
The following are some of the most important topics in ge ...
. Jointly with
Isaak Milin Isaak Moiseevich Milin, (Исаак Моисеевич Милин); * February 16, 1919, Oster, Ukrainian Soviet Socialist Republic – † November 17, 1992 Saint-Petersburg (former Leningrad), Russian Federation) was a prominent Soviet/Russian mat ...
, he proved the
Lebedev–Milin inequalities that were used in the proof of the
Bieberbach conjecture In complex analysis, de Branges's theorem, or the Bieberbach conjecture, is a theorem that gives a necessary condition on a holomorphic function in order for it to map the open unit disk of the complex plane injectively to the complex plane. It was ...
.
See also
*
Conformal map
In mathematics, a conformal map is a function that locally preserves angles, but not necessarily lengths.
More formally, let U and V be open subsets of \mathbb^n. A function f:U\to V is called conformal (or angle-preserving) at a point u_0\in ...
*
Power series
In mathematics, a power series (in one variable) is an infinite series of the form
\sum_^\infty a_n \left(x - c\right)^n = a_0 + a_1 (x - c) + a_2 (x - c)^2 + \dots
where ''an'' represents the coefficient of the ''n''th term and ''c'' is a const ...
Biographical references
*, translated in English as .
*, translated in English as .
References
*.
*.
*.
* (Translation of the 1971 Russian edition, edited by P. L. Duren).
{{DEFAULTSORT:Lebedev, Nikolai Andreevich
Complex analysts
Mathematical analysts
1919 births
1982 deaths
Soviet mathematicians