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Study analytical function subordination properties by applying a novel linear operator. [PDF]
Majel MS, Hameed MI.
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Generalization of analytic functions
Applied Mathematics and Computation, 2011Abstract The concept of analyticity for complex functions on time scale complex plane was introduced by Bohner and Guseinov in 2005. They developed completely delta differentiability, delta analytic functions on products of two time scales, and Cauchy–Riemann equations for delta case.
Sinan Kapçak, Ünal Ufuktepe
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Computability of Analytic Functions with Analytic Machines
2009We present results concerning analytic machines, a model of real computation introduced by Hotz which extends the well known Blum, Shub and Smale machines by infinite converging computations. We use the machine model to define computability of complex analytic (i.e.
Tobias Gärtner, Günter Hotz
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ON THE APPROXIMATIONS TO ANALYTIC FUNCTIONS
1994Summary: We prove a theorem which shows that the uniqueness problem for entire functions of exponential type is equivalent to the approximation problem for analytic functions. This theorem is then combined with theorems on uniqueness to produce a number of results on the approximation of analytic functions.
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Iteration of Analytic Functions
The Annals of Mathematics, 1942La solution formelle de l'equation de Schröder \(\varphi(a_1x)=f(\varphi(x))\) converge si \(\log |a_1^n-1|=O(\log n)\) pour \(n\to\infty\) où \(f(z)=a_1z+\dots\).
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On the Recovery of Analytic Functions
Canadian Journal of Mathematics, 1996AbstractIn this paper we consider questions of recapturing an analytic function in a Banach space from its values on a uniqueness set. The principal method is to use reproducing kernels to construct a sequence in the Banach space which converges in norm to the given functions.
Cima, Joseph A., Stessin, Michael
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