Results 11 to 20 of about 13,231,449 (366)
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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The Bohr phenomenon for analytic functions on shifted disks
Annales Fennici Mathematici, 2021 In this paper, we investigate the Bohr phenomenon for the class of analytic functions defined on the simply connected domain \(\Omega_{\gamma}=\bigg\{z\in\mathbb{C} \colon \bigg|z+\frac{\gamma}{1-\gamma}\bigg|
M. B. Ahamed, V. Allu, H. Halder
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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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Mathematics, 2020 First, by making use of the concept of basic (or q-) calculus, as well as the principle of subordination between analytic functions, generalization Rq(h) of the class R(h) of analytic functions, which are associated with the leaf-like domain in the open ...
B. Khan +5 more
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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 +2 more
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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 and apply this result to the proof of a local Hyers-Ulam stability of the Kummer differential equation in a special class of analytic functions.
Jung Soon-Mo
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Applications of Borel Distribution Series on Analytic Functions
, 2020 The purpose of the present paper is to determine the necessary and sufficient conditions for the power series whose coefficients are probabilities of the Borel distribution to be in the family of analytic functions which defined in the open unit disk. We
A. Wanas, J. A. Khuttar
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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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Boundary smoothness of analytic functions [PDF]
, 2014 We consider the behaviour of holomorphic functions on a bounded open subset of the plane, satisfying a Lipschitz condition with exponent $\alpha$, with ...
O'Farrell, Anthony G.
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Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball [PDF]
Transactions of the American Mathematical Society, 2017 We study algebras of bounded, noncommutative (nc) analytic functions on nc subvarieties of the nc unit ball. Given a nc variety $\mathfrak{V}$ in the nc unit ball $\mathfrak{B}_d$, we identify the algebra of bounded analytic functions on $\mathfrak{V}$ --
Guy Salomon, O. Shalit, E. Shamovich
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