Results 1 to 10 of about 123,456 (263)

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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Bohr-type inequalities of analytic functions [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we investigate the Bohr-type radii for several different forms of Bohr-type inequalities of analytic functions in the unit disk, we also investigate the Bohr-type radius of the alternating series associated with the Taylor series of ...
Ming-Sheng Liu, Yin-Miao Shang, Jun-Feng Xu   +2 more
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On a boundary property of analytic functions [PDF]

Journal of Inequalities and Applications, 2017
Let f be an analytic function in the unit disc | z | < 1 $|z|
Mamoru Nunokawa, Janusz Sokół
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Second Hankel Determinant for Certain Subclasses of Bi-starlike Functions Defined by Differential Operators [PDF]

Sahand Communications in Mathematical Analysis, 2023
In this paper, we obtain  upper bounds of the initial Taylor-Maclaurin coefficients $\left\vert a_{2}\right\vert ,$ $\left\vert a_{3}\right\vert $ and $\left\vert a_{4}\right\vert $ and of the Fekete-Szegö functional $\left\vert a_{3}-\eta a_{2}^{2 ...
Halit Orhan, Hava Arikan, Murat Çağlar
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Analytic Gaussian functions in the unit disc: probability of zeros absence

Математичні Студії, 2023
In the paper we consider a random analytic function of the form $$f(z,\omega )=\sum\limits_{n=0}^{+\infty}\varepsilon_n(\omega_1)\xi_n(\omega_2)a_nz^n.$$ Here $(\varepsilon_n)$ is a sequence of inde\-pendent Steinhaus random variables, $(\xi_n)$ is a ...
A. O. Kuryliak, O. B. Skaskiv
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q-analytic functions, fractals and generalized analytic functions [PDF]

Journal of Physics A: Mathematical and Theoretical, 2014
We introduce a new class of complex functions of complex argument which we call q-analytic functions. These functions satisfy q-Cauchy–Riemann equations and have real and imaginary parts as q-harmonic functions. We show that q-analytic functions are not the analytic functions.
Pashaev, Oktay K., Nalci, Sengul
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Geometrical Theory of Analytic Functions

Mathematics, 2022
This Special Issue, devoted to the topic of the “Geometric Theory of Analytic Functions”, aims to bring together the newest research achievements of scholars studying the complex-valued functions of one variable [...]
Georgia Irina Oros
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Approximation of Analytic Functions by Kummer Functions

Journal of Inequalities and Applications, 2010
We solve the inhomogeneous Kummer differential equation of the form xy′′+(β-x)y′-αy=∑m=0∞amxm and apply this result to the proof of a local Hyers-Ulam stability of the Kummer differential equation ...
Soon-Mo Jung
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Sufficient Conditions for a New Class of Polynomial Analytic Functions of Reciprocal Order alpha [PDF]

Mathematics Interdisciplinary Research, 2017
In this paper, we consider a new class of analytic functions in the unit disk using polynomials of order alpha. We give some sufficient conditions for functions belonging to thisclass.
Mohammad Taati, Sirous Moradi, Shahram Najafzadeh   +2 more
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R-analytic functions [PDF]

Archive for Mathematical Logic, 2016
We introduce the notion of $R$-analytic functions. These are definable in an o-minimal expansion of a real closed field $R$ and are locally the restriction of a $K$-differentiable function (defined by Peterzil and Starchenko) where $K=R[\sqrt{-1}]$ is the algebraic closure of $R$.
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