Mga halimbawa ng paggamit ng Analytic functions sa Ingles at ang kanilang mga pagsasalin sa Tagalog
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Introduction to the theory of analytic functions.
Then he worked on analytic functions, applying results of Mittag-Leffler in a study of the asymptotic investigation of Taylor series.
On the development of analytic functions in series.
At Tohoko University Kakutani was introduced to the theory of analytic functions.
In this area he worked on differential equations, analytic functions and functions of several complex variables.
The work studies trigonometric series andthe boundary behaviour of analytic functions.
Montel worked mostly on the theory of analytic functions of a complex variable.
He also studied, together with Privalov,boundary uniqueness properties 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.
His main work focused on the theory 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: .
Pincherle contributed to the development anddissemination of Weierstrass 's development of a theory of analytic functions.
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.
Carlson was one of those who with refined methods continued Mittag-Leffler 's effort in the theory of analytic functions.
In particular he attended the one semester course by Weierstrass Introduction to the theory of analytic functions and the notes taken by Hurwitz at this time are reproduced as the book.
Akhiezer continued to work on this topic andwas later to solve the extremal problem for the class of analytic functions.
Friedrichs published On certain inequalities andcharacteristic value problems for analytic functions and for functions of two variables in the Transactions of the American Mathematical Society in 1937.
The book presents a beautiful historical account of the global theory of iteration of complex analytic functions.
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 he needed to move into a new area.
The second is to give an account of the theory of Riemann surfaces and analytic functions on Riemann surfaces.
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.
Poincaré is also considered the originator of the theory of analytic functions of several complex variables.
In 1961, in collaboration with L Durand,Bremermann produced a concrete approach to the representation of distributions by boundary values of analytic functions.
Contains a collection of interesting andelegant theorems of the theory of analytic functions of a single variable.
In physics for a thesis entitled Representation of quantum mechanical operators by kernels on Hilbert spaces of analytic functions.
After his doctoral work on quantum theory he turned toward topology and the theory of analytic functions in several indeterminates.
They jointly authored a text A treatise on the theory of functions which was published in 1893 andrevised as Introduction to the theory of analytic functions in 1898.
However, Riemann's thesis is a strikingly original piece of work which examined geometric properties of analytic functions, conformal mappings and the connectivity of surfaces.
But at the beginning of the twentieth century Ascoli's theorem had very few applications, andit was Montel who made it popular by showing how useful it could be for analytic functions of a complex variable.
Its contents were: numbers, the function concept with Weierstrass's power series approach, continuity and differentiability, analytic continuation,points of singularity, analytic functions of several variables, in particular Weierstrass's"preparation theorem", and contour integrals.