Examples of using Analytic functions in English and their translations into Bulgarian
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The fact that uniform limits of analytic functions are analytic is an easy consequence of Morera's theorem.
One of the works for which Saks is most famous is their joint book Analytic functions which appeared in 1938 as volume eight in the Mathematical Monographs series.
In 1945 he published the paper Characterization of analytic functions in Banach space in the Annals of Mathematics.
Privalov studied analytic functions in the vicinity of singular points by means of measure theory
was awarded his doctorate in 1932 for a thesis entitled Boundary Values of Analytic Functions.
infinite series, and analytic functions.
The book presents a beautiful historical account of the global theory of iteration of complex analytic functions.
Poincaré is also considered the originator of the theory of analytic functions of several complex variables.
the set A(Ω) of all bounded, analytic functions u: Ω→ C is a Banach space with respect to the supremum norm.
The second is to give an account of the theory of Riemann surfaces and analytic functions on Riemann surfaces.
I cannot be satisfied any more with analytic functions and Taylor series….
In this area he worked on differential equations, analytic functions and functions of several complex variables.
Since Bergman had been undertaking research on orthogonal systems of analytic functions during the time that Bochner had put his mathematics aside, Bochner decided that
which was based on a lecture Behnke gave at a conference on analytic functions at Princeton in 1957.
One of the chief stumbling blocks in such a task is the fact that the notion of derivative is a hereditary property for analytic functions while this is clearly not the case for solutions of general second order elliptic equations.
On the mean values of an analytic function.
Alternatively, an analytic function is an infinitely differentiable function such that the Taylor series at any point x0 in its domain.
The transformation of his conception of an analytic function from a differentiable function to a function expansible into a convergent power series was made during this early period of Weierstrass's mathematical activity.
gave an estimate for the maximum modulus of an analytic function which takes the same value no more than p times in the unit disc.