Results 121 to 130 of about 10,386,040 (275)

Some properties of a class of holomorphic functions associated with tangent function

open access: yesDemonstratio Mathematica
In this study, we define new class of holomorphic functions associated with tangent function. Furthermore, we examine the differential subordination implementation results related to Janowski and tangent functions. Also, we investigate some extreme point
Khan Muhammad Ghaffar   +5 more
doaj   +1 more source

Multiply Universal Holomorphic Functions

open access: yesJournal of Approximation Theory, 1997
The problem of the existence of so-called ``universal functions'' (compare W. Luh, Holomorphic monsters. [J. Approximation Theory 53, No. 2, 128-144 (1988; Zbl 0669.30020)] for the notations and the history of the topic) is generalized. The main result is the following: Let \({\mathcal O} \subset\mathbb{C}\), \({\mathcal O} \neq\mathbb{C}\), be an open
openaire   +2 more sources

Weighted holomorphic Besov spaces on the polydisk

open access: yesJournal of Function Spaces and Applications, 2011
This work is an introduction of weighted Besov spaces of holomorphic functions on the polydisk. Let Un be the unit polydisk in Cn and S be the space of functions of regular variation.
Anahit V. Harutyunyan, Wolfgang Lusky
doaj   +1 more source

A Normality Criterion for Sharing a Holomorphic Function

open access: yesAxioms
In this paper, we scrutinize a collection of meromorphic functions known as normal families, prove the theorem that normal families share a holomorphic function, and present several illustrative counterexamples.
Sheng Wang, Xiaojun Huang
doaj   +1 more source

Almost periodic divisors, holomorphic functions, and holomorphic mappings

open access: yesBulletin 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   +3 more sources

Home - About - Disclaimer - Privacy