Examples of using Analytic functions in English and their translations into Bulgarian
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It has analytic functions.
Introduction to the theory of analytic functions.
Analytic functions and Cauchy-Riemann equations.
Properties of analytic functions.
Analytic functions and the Cauchy-Riemann conditions.
On the theory of analytic functions.
Analytic functions of z and the Cauchy-Riemann conditions.
Boundary Values of Analytic Functions.
Pincherle contributed to the development anddissemination of Weierstrass 's development of a theory of analytic functions.
On the development of analytic functions in series.
At Tohoko University Kakutani was introduced to the theory of analytic functions.
The Expansion of Analytic Functions in Power Series.
Fixed singular points of generalized analytic functions.
They were The theory of analytic functions(1953), Differential and integral equations.
Livsic took part in the functional analysis seminar and studied analytic functions.
There he taught courses on analytic functions and functional calculus.
He also studied, together with Privalov,boundary uniqueness properties of analytic functions.
Montel worked mostly on the theory of analytic functions of a complex variable.
Then he worked on analytic functions, applying results of Mittag-Leffler in a study of the asymptotic investigation of Taylor series.
He also wrote important works on the theory of analytic functions of a single variable.
He published Analytic functions and classes of infinitely differentiable functions as a Rice Institute Pamphlet of 142 pages in 1942.
The sums, products, and compositions of analytic functions are analytic. .
His dissertation investigates analytic functions and summation procedures by arithmetic means.
Contains a collection of interesting andelegant theorems of the theory of analytic functions of a single variable.
The fact that uniform limits of analytic functions are analytic is an easy consequence of Morera's theorem.
In this thesis Sokhotsky discussed the Cauchy integral and the theory of analytic functions, which he called"single-valued".
Discovered new connections between prime numbers and analytic functions and new rules for the representation of natural numbers through positive integral quadratic forms of an even number of variables.
After his doctoral work on quantum theory he turned toward topology and the theory of analytic functions in several indeterminates.
Privalov, often in collaboration with Luzin, studied analytic functions in the vicinity of singular points by means of measure theory and Lebesgue integrals.
In 1945 he published the paper Characterization of analytic functions in Banach space in the Annals of Mathematics.