Examples of using Analytic functions in English and their translations into Danish
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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.
in the following year published On the mean values of an analytic function in the same journal.
became interested in analogues of the conjugate function operator(that which takes the real part of an analytic function to its imaginary part)
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.
became interested in analogues of the conjugate function operator(that which takes the real part of an analytic function to its imaginary part)
Freundlich was awarded a doctorate by the University of Göttingen for a thesis on analytic function theory in 1910.
Differentiable and analytic functions; Cauchy-Riemann's equations 7.
the boundary behaviour of analytic functions.
Aggregate queries- New analytic functions; grouping sets;
He continued research and was awarded his doctorate in 1932 for a thesis entitled Boundary Values of Analytic Functions.
was later to solve the extremal problem for the class of analytic functions.
In his 1863/64 course on The general theory of analytic functions Weierstrass began to formulate his theory of the real numbers.
On the development of analytic functions in series.
Bremermann produced a concrete approach to the representation of distributions by boundary values of analytic functions.
Also important are Plemelj's contributions to the theory of analytic functions which he developed while investigation the problem of uniformization of algebraic functions. .
Analytic functions of a complex variable were investigated by Euler in a number of different contexts,
The four courses were Introduction to the theory of analytic functions, Elliptic functions,
back to 1952-1953 and deals with pseudoanalytic functions- an original concept introduced by Caccioppoli- extending some properties of analytic functions.
Cartan worked on analytic functions, the theory of sheaves,
usual preliminaries of the standard first course in analytic functions of a complex variable.