Nikolai Andreevich Lebedev (; 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 g ...
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, 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 (mathematics), 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-prese ...
*
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 ''a_n'' represents the coefficient of the ''n''th term and ''c'' is a co ...
Biographical references
*, translated in English as .
*, translated in English as .
References
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* (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