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Normality of Composite Analytic Functions and Sharing an Analytic Function [PDF]

Fixed Point Theory and Applications, 2010
A result of Hinchliffe (2003) is extended to transcendental entire function, and an alternative proof is given in this paper. Our main result is as follows: let be an analytic function, a family of analytic functions in a domain , and a ...
Xiao Bing, Yuan Wenjun, Wu Qifeng
doaj   +5 more sources

On Pseudo-Analytic Functions [PDF]

Nagoya Mathematical Journal, 1957
Many of the properties of analytic functions can be proved in a purely topological manner, so that such properties are then valid for the larger class of functions which are topologically equivalent to analytic functions. The importance of such functions has been recognized fairly recently, particularly in the theory of partial differential equations ...
D. A. Storvick
openalex   +4 more sources

Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions $S$ with Order $2^{-r}$ [PDF]

Sahand Communications in Mathematical Analysis, 2022
In this paper, some conditions have been improved so that the function $g(z)$ is defined as $g(z)=1+\sum_{k\ge 2}^{\infty}a_{n+k}z^{n+k}$, which is analytic in unit disk $U$, can be in more specific subclasses of the $S$ class, which is the most ...
İsmet Yıldız, Oya Mert, Alaattin Akyar   +2 more
doaj   +1 more source

A New Operator for Meromorphic Functions

Mathematics, 2022
Let Σ be the class of functions f(z) of the form f(z)=1z+∑k=0∞akzk, which are analytic in the punctured disk. Using the differentiations and integrations, new operator Dnf(z) is introduced for f(z)∈Σ.
Hatun Özlem Güney, Daniel Breaz, Shigeyoshi Owa   +2 more
doaj   +1 more source

The Zero Set of a Real Analytic Function [PDF]

Mathematical Notes, 2015
A brief proof of the statement that the zero-set of a nontrivial real-analytic function in $d$-dimensional space has zero measure is provided.
B. Mityagin
semanticscholar   +1 more source

On the singularities of an analytic function [PDF]

Bulletin of the American Mathematical Society, 1935
E. W. Miller
openalex   +4 more sources

ANALYTIC FUNCTIONS OF INFINITE ORDER IN HALF-PLANE

Проблемы анализа, 2022
J. B. Meles (1979) considered entire functions with zeros restricted to a finite number of rays. In particular, it was proved that if 𝑓 is an entire function of infinite order with zeros restricted to a finite number of rays, then its lower order ...
K. G. Malyutin, M. V. Kabanko, T. V. Shevtsova   +2 more
doaj   +1 more source

A note on approximation of continuous functions on normed spaces

Karpatsʹkì Matematičnì Publìkacìï, 2020
Let $X$ be a real separable normed space $X$ admitting a separating polynomial. We prove that each continuous function from a subset $A$ of $X$ to a real Banach space can be uniformly approximated by restrictions to $A$ of functions, which are analytic ...
M.A. Mytrofanov, A.V. Ravsky
doaj   +1 more source

Local topological algebraicity of analytic function germs [PDF]

, 2014
T. Mostowski showed that every (real or complex) germ of an analytic set is homeomorphic to the germ of an algebraic set. In this paper we show that every (real or complex) analytic function germ, defined on a possibly singular analytic space, is ...
Marcin Bilski, A. Parusiński, G. Rond
semanticscholar   +1 more source

Analytic Error Function and Numeric Inverse Obtained by Geometric Means

Stats, 2023
Using geometric considerations, we provided a clear derivation of the integral representation for the error function, known as the Craig formula. We calculated the corresponding power series expansion and proved the convergence.
Dmitri Martila, Stefan Groote
doaj   +1 more source