Results 21 to 30 of about 733,090 (333)
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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Real analytic functions and monomial curves [PDF]
arXiv, 2023 We show that a function is real analytic at the origin iff it is arc-analytic, has a subanalytic graph, and its restriction to every monomial curve is analytic. This complements recent results of Kucharz and Kurdyka.
arxiv
, 2022 Let $Ω$ be a connected bounded domain on the complex plane, $S$ be its boundary, which is closed, star-shaped, $C^1$-smooth, and $H(Ω)$ is the set of analytic (holomorphic) in $Ω$ functions. The aim of this paper is to prove that an arbitrary $f\in L^1(S)$, satisfying the condition $\int_Sf(s)ds=0$, can be boundary value of an $f\in H(Ω)$.
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A class of analytic functions based on convolution [PDF]
Surveys in Mathematics and its Applications, 2010 We introduce a class TSpg(α) of analytic functions with negative coefficients defined by convolution with a fixed analytic function g(z)=z+Σn=2∞bnzn, bn>0, |z|
H. Silverman +3 more
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A Subclass of Analytic Functions Associated with Hypergeometric Functions [PDF]
Sahand Communications in Mathematical Analysis, 2019 In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$.
Santosh B. Joshi +2 more
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Schur analysis and discrete analytic functions: Rational functions and co-isometric realizations [PDF]
arXiv, 2021 We define and study rational discrete analytic functions and prove the existence of a coisometric realization for discrete analytic Schur multipliers.
arxiv
Analyticity of functions analytic on circles
Journal of Mathematical Analysis and Applications, 2009 Let U be the closed unit disc in C and let p be a point on the unit circle. Let f be a continuous function on U which extends holomorphically from each circle contained in U and centered at the origin, and from each circle contained in U and passing through the point p. Then f is holomorphic in the interior of U.
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Analytic functions over valued fields
International Journal of Mathematics and Mathematical Sciences, 1990 Let K be a non-archimedean, non-trivially (rank 1) valued complete field. B, B0 denote the closed and open unit ball of K respectively. Necessary and sufficient conditions for analytic functions defined on B, B0 with values in K to be injective ...
R. Bhaskaran, V. Karunakaran
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CT-Right Equivalence Of Analytic Functions
Demonstratio Mathematica, 2015 Let ƒ, g : (ℝn, 0) --+ (ℝ, 0) be analytic functions. We will show that if ▽ƒ(0) = 0 and g ƒ∈ (ƒ)r+2 then I and g are Cr-right equivalent, where (ƒ) denote ideal generated by ƒ and r ∈ ℕ.
Migus Piotr
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Theory of certain Non-Univalent Analytic functions [PDF]
arXiv, 2022 We investigate the non-univalent function's properties reminiscent of the theory of univalent starlike functions. Let the analytic function $\psi(z)=\sum_{i=1}^{\infty}A_i z^i$, $A_1\neq0$ be univalent in the unit disk. Non-univalent functions may be found in the class $\mathcal{F}(\psi)$ of analytic functions $f$ of the form $f(z)=z+\sum_{k=2}^{\infty}
arxiv