. This book contains a detailed review of recent investigations concerning the function-theoretical pecularities of polyanalytic functions (boundary behavour, value distributions, degeneration, uniqueness etc.). Polyanalytic functions have many points of contact with such fields of analysis as ...
The proof given in the last section for the Fundamental Theorem of Algebra depended only on the calculus of two-variable real-valued functions. However, the proof suggests a more general result, called Liouville's theorem, which we will develop. From this result the Fundamental Theorem of ...
Complex Functions 1 Introduction to the Concept of Analytic Function 1.1 Limits and Continuity 1.2 Analytic Functions 1.3 Polynomials 1.4 Rational Functions 2 Elementary Theory of Power Series 2.1 Sequences 2.2 Series 2.3 Uniform Coverages 2.4 Power Series 2.5 Abel's Limit Theorem 3 The Exponential ...
These include the theorems of Hurwitz and Rouche, the Open Mapping theorem, the Inverse and Implicit Function theorems, applications of those theorems, behaviour at a critical point, analytic branches, constructing Riemann surfaces for functional inverses, Analytic continuation and Monodromy, Hyperbolic ...
Riemann zeta function, function useful in number theory for investigating properties of prime numbers. Written as ζ(x), it was originally defined as the infinite series ζ(x) = 1 + 2−x + 3−x + 4−x + ⋯. When x = 1, this series is called the h
The first step in the analytic hierarchy process is to set up the problem. In the case of multi-attribute software quality analysis this means deciding which builds you want to evaluate, and which attributes you will use as a basis for the evaluation. I have chosen to compare the three mos...
作者:Tomassini, Giuseppe; Saracco, Alberto; Simioniuc, Alexandru 出版年:2013-4 页数:449 定价:$ 39.49 ISBN:9788876421990 豆瓣评分 目前无人评价 评价: 内容简介· ··· This book is an introduction to the theory of holomorphic functions of several complex variables. It is based on the courses...
The Method of Scales of Function Spaces and Its Interactions to Complex AnalysisOn the Abstract CAUCHY-KOWALEWSKI TheoremTheorems of CAUCHY-KOVALEVSKY and HOLMGREN Type for Abstract Evolution Equations in Scales of Locally Convex SpacesSolution of Initial Value Problems in Associated SpacesAveraged ...
Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy's theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals. 展开 关键词: Analytic...
Complex Analysis (A Functional Analytic Approach) || Indexdoi:10.1515/9783110417241-013HaslingerFriedrich