Results 41 to 50 of about 13,231,449 (366)
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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A lethargy result for real analytic functions [PDF]
, 2011 In this short note we prove that, if (C[a,b],{A_n}) is an approximation scheme and (A_n) satisfies de La Vall\'ee-Poussin Theorem, there are instances of continuous functions on [a,b], real analytic on (a,b], which are poorly approximable by the elements
Almira, J. M.
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, 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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Two-point Taylor Expansions of Analytic Functions [PDF]
, 2002 Taylor expansions of analytic functions are considered with respect to two points. Cauchy-type formulas are given for coefficients and remainders in the expansions, and the regions of convergence are indicated. It is explained how these expansions can be
Lopez, Jose L., Temme, Nico M.
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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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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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Note on bases in algebras of analytic functions on Banach spaces
Karpatsʹkì Matematičnì Publìkacìï, 2019 Let $\{P_n\}_{n=0}^\infty$ be a sequenceof continuous algebraically independent homogeneous polynomials on a complex Banach space $X.$ We consider the following question: Under which conditions polynomials $\{P_1^{k_1}\cdots P_n^{k_n}\}$ form a Schauder
I.V. Chernega, A.V. Zagorodnyuk
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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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Vector valued Hardy spaces [PDF]
, 2018 The Hardy space $H^{p}$ of vector valued analytic functions in tube domains in $\mathbb{C}^{n}$ and with values in Banach space are defined. Vector valued analytic functions in tube domains in $\mathbb{C}^{n}$ with values in Hilbert space and which have ...
Carmichael, Richard D. +2 more
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Asymptotic distribution of complex zeros of random analytic functions [PDF]
, 2014 Let $\xi_0,\xi_1,\ldots$ be independent identically distributed complex- valued random variables such that $\mathbb{E}\log(1+|\xi _0|)
Z. Kabluchko, D. Zaporozhets
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