Results 21 to 30 of about 13,660,663 (362)
Bohr Inequality for Odd Analytic Functions [PDF]
, 2017 We determine the Bohr radius for the class of odd functions f satisfying $$|f(z)|\le 1$$|f(z)|≤1 for all $$|z|
I. Kayumov, S. Ponnusamy
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A new criterion for starlike functions
International Journal of Mathematics and Mathematical Sciences, 1996 In this paper we shall get a new criterion for starlikeness, and the hypothesis of this criterion is much weaker than those in [1] and [2].
Ling Yi, Shusen Ding
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a*-families of analytic functions
International Journal of Mathematics and Mathematical Sciences, 1984 Using convolutions, a new family of analytic functions is introduced. This family, called a*-family, serves in certain situations to unify the study of many previously well known classes of analytic functions like multivalent convex, starlike, close-to ...
G. P. Kapoor, A. K. Mishra
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Geometric Properties of Certain Classes of Analytic Functions Associated with a q-Integral Operator
Symmetry, 2019 This article presents certain families of analytic functions regarding q-starlikeness and q-convexity of complex order γ ( γ ∈ C \ 0 ) . This introduced a q-integral operator and certain subclasses of the newly introduced classes are defined by using ...
Shahid Mahmood +5 more
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Approximation of Analytic Functions by Chebyshev Functions
Abstract and Applied Analysis, 2011 We solve the inhomogeneous Chebyshev's differential equation and apply this result for approximating analytic functions by the Chebyshev functions.
Soon-Mo Jung, Themistocles M. Rassias
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Nowhere differentiable functions of analytic type on products of finitely connected planar domains [PDF]
, 2017 Using Laurent decomposition and Mergelyan’s theorem combined with Baire’s category theorem, we prove generic nowhere differentiability on the distinguished boundary of functions of analytic type on products of planar domains bounded by finitely many ...
Mastrantonis, Vlasios +1 more
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, 2019 In this paper we define and consider some familiar subsets of analytic functions associated with sine functions in the region of unit disk on the complex plane. For these classes our aim is to find the Hankel determinant of order three.
Muhammad Arif +4 more
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Stable Extrapolation of Analytic Functions [PDF]
Foundations of Computational Mathematics, 2016 This paper examines the problem of extrapolation of an analytic function for x>1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
L. Demanet, Alex Townsend
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Bohr-type inequalities for bounded analytic functions of Schwarz functions
AIMS Mathematics, 2021 In this paper, some new versions of Bohr-type inequalities for bounded analytic functions of Schwarz functions are established. Most of these inequalities are sharp. Some previous inequalities are generalized.
Xiaojun Hu, Qihan Wang, Boyong Long
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A Hankel matrix acting on spaces of analytic functions [PDF]
, 2017 If $\mu $ is a positive Borel measure on the interval $[0, 1)$ we let $\mathcal H_\mu $ be the Hankel matrix $\mathcal H_\mu =(\mu _{n, k})_{n,k\ge 0}$ with entries $\mu _{n, k}=\mu _{n+k}$, where, for $n\,=\,0, 1, 2, \dots $, $\mu_n$ denotes the moment ...
Girela, Daniel, Merchán, Noel
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