Results 11 to 20 of about 13,689,528 (374)
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
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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
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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 +2 more
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On the singularities of an analytic function [PDF]
Bulletin of the American Mathematical Society, 1935 E. W. Miller
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On equivalent analytic functions [PDF]
Arkiv för Matematik, 1949 Bengt J. Andersson
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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
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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 +2 more
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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 +2 more
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Rate of interpolation of analytic functions with regularly decreasing coefficients by simple partial fractions [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 We consider the problems of multiple interpolation of analytic functions $f(z)=f_0+f_1z+\dots$ in the unit disk with node $z=0$ by means of simple partial fractions (logarithmic derivatives of algebraic polynomials) with free poles and with all poles on ...
Komarov, Mikhail Anatol'evich
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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
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