Results 81 to 90 of about 85,492 (193)

HARMONICS SURFACES OF GRAPHIC TYPE IN R3

Selecciones Matemáticas, 2016
In this research we study harmonic surfaces immersed in R3. We dened Harmonic surfaces of graphic type and showed that a harmonious surface graphic type is minimal if and only if it is part of a plane or a helix.
Carlos Carrión Riveros, Armando Vásquez Corro, Sarah O. Barbosa   +2 more
doaj   +1 more source

On the deviation of Milin's functional

Mathematical Modelling and Analysis, 2003
The goal of the present paper is to formulate the problem of investigation of the deviation of Milin's functional for the holomorphic in the unit disk function or on the whole class S. The first results of such investigations are presented.
I. Aleksandrov, T. Kasatkina, A. Aleksandrov   +2 more
doaj   +1 more source

Distortion Theory of Biunivalent Holomorphic Functions

Axioms
Biunivalent holomorphic functions form an interesting class in geometric function theory and are associated with special functions and solutions of complex differential equations.
Samuel L. Krushkal
doaj   +1 more source

The Fuchsian Cauchy problem

Electronic Journal of Differential Equations, 2009
This article presents a global version of the main theorem by Baouendi and Goulaouic cite{bago}, in the space of differentiable functions with respect to Fuchsian variable, and holomorphic with respect to other variables.
Malika Belarbi, Mustapha Mechab
doaj  

Strictly diagonal holomorphic functions on Banach spaces

Karpatsʹkì Matematičnì Publìkacìï, 2015
In this paper we investigate the boundedness of holomorphic functionals on a Banach space with a normalized basis $\{e_n\}$ which have a very special form $f(x)=f(0)+\sum_{n=1}^\infty c_nx_n^n$ and which we call strictly diagonal. We consider under which
O.I. Fedak, A.V. Zagorodnyuk
doaj   +1 more source

Holomorphic generalized functions

Journal of Mathematical Analysis and Applications, 1984
A new theory of generalized functions defined on open subsets of \({\mathbb{R}}^ n\) has been introduced by Colombeau; see his books ''New generalized functions and multiplication of distributions'' (1984; Zbl 0532.46019) and ''Elementary introduction to new generalized functions'' (1985).
Colombeau, J.F, Galé, J.E
openaire   +2 more sources

Almost periodic divisors, holomorphic functions, and holomorphic mappings

Bulletin des Sciences Mathématiques, 2003
We prove that to each almost periodic (in the sense of distributions) divisor in a tube one can assign a first Chern class of a special line bundle over Bohr's compact set generated by the divisor such that the trivial cohomology class represents divisors of all almost periodic holomorphic functions on a tube.
openaire   +2 more sources

A new cross theorem for separately holomorphic functions

, 2009
We prove a new cross theorem for separately holomorphic ...
Jarnicki, Marek, Pflug, Peter
core   +1 more source

Mean value theorem for holomorphic functions

Electronic Journal of Differential Equations, 2012
This article presents a generalization of Myers' theorem and when the boundary assumption f'(a)=f'(b) is removed, and to prove this result for holomorphic functions of one complex variable.
Devrim Cakmak, Aydin Tiryaki
doaj  

Boundedness and Compactness of Weighted Composition Operators From Banach Spaces of Holomorphic Functions to Weighted-Type Banach Spaces on the Polydisk

Journal of Function Spaces
In this work, we characterize the bounded and compact weighted composition operators from a large class of Banach space X of holomorphic functions on the open unit polydisk Dn into weighted-type Banach spaces of holomorphic functions on Dn.
Rabab Alyusof, Flavia Colonna
doaj   +1 more source