Results 171 to 180 of about 11,045 (223)

EXPANSIONS IN SERIES AND THE RATE OF RATIONAL APPROXIMATIONS FOR HOLOMORPHIC FUNCTIONS WITH ANALYTIC SINGULARITIES

Mathematics of the USSR-Sbornik, 1974
It is proved that for functions holomorphic in the complement of an analytic subset of Cn the best rational approximation converges faster than any geometric progression. Bibliography: 3 items.
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On a Class of Holomorphic Functions Representable by Carleman Formulas in Some Class of Bounded, Simply Connected Domains From Their Values on an Analytic Arc

Monatshefte für Mathematik, 2006
Let \({\mathcal U}\) be a bounded simply connected domain with Jordan rectifiable boundary containing an open analytic arc \(M\) (\(0 < m(M) < m({\mathcal U})\)). The quenching function is defined as an exponent of the solution to the Schwarz boundary value problem with piece-wise constant data (equal to 1 on \(M\) and to 0 on \(\partial {\mathcal U ...
Chailos, George, Vidras, Alekos, Chailos, George, Vidras, Alekos   +3 more
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Holomorphic Spaces Related to Orthogonal Polynomials and Analytic Continuation of Functions

2001
We prove three analytic continuation criteria for functions defined on the whole real line, positive half-line and a finite interval. The extended functions belong to certain reproducing kernel holomorphic spaces. The distinctive feature of our theorems is that no smoothness properties of functions to be extended are assumed in the hypotheses ...
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Extension of bounded holomorphic functions from an analytic curve in general position to a polydisk

Functional Analysis and Its Applications, 1984
Theorem: Let A be an analytic curve defined in a neighbourhood of a polydisk \(D^ n\) such that: (i) The singular points of A are situated strictly inside \(D^ n\); (ii) The intersection of A with each \(\Gamma_ i:=D_ 1\times...\times D_{i-1}\times\partial D_ i\times D_{i+1}\times...\times D_ n\) or \(\Gamma_{ij}:=\Gamma_ i\cap\Gamma_ j\) is ...
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Study certain subclasses of holomorphic functions for quasi-subordination

Journal of Interdisciplinary Mathematics
Numerous scholars have shown remarkable interest in geometric function theory, a thriving area of study with roots in complex analysis. The investigation of the geometric properties of analytic (in addition to univalent) functions, with numerous ...
Abdulsalam F. Talak, Mustafa I. Hameed, Ali Kadhim Yaqoob   +2 more
semanticscholar   +1 more source

A LINK BETWEEN COVERING AND COEFFICIENT THEOREMS FOR HOLOMORPHIC FUNCTIONS

Journal of Mathematical Sciences
Recently the author presented a new approach to solving the coefficient problems for various classes of holomorphic functions f(z)=∑0∞cnzn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
S. Krushkal
semanticscholar   +1 more source

Applications of Subordination for Holomorphic Functions Stated by Generalized By-Product Operator

International Journal of Mathematics and Mathematical Sciences
The aim of this research is to investigate certain problems of differential subordination and superordination of analytic univalent functions in an open unit disk.
Mustafa I. Hameed, Shaheed Jameel Al-Dulaimi, Hussaini Joshua, Ismael I. Hameed, Israa A. Ibrahim, K. Oshinubi   +5 more
semanticscholar   +1 more source

Composition and functions of bacterial membrane vesicles

Nature Reviews Microbiology, 2023
Masanori Toyofuku, Stefan Schild, Maria Kaparakis-Liaskos   +2 more
exaly  

Analyticity on circles for rational and real-analytic functions of two real variables

, 2003
M. Agranovsky, J. Globevnik
semanticscholar   +1 more source

Analyticity of the Solutions of Implicit Function Problems With Analytic Data

, 1966
J. Nash
semanticscholar   +1 more source