Results 271 to 280 of about 2,072 (306)

On Borel summability and analytic functionals [PDF]

Rocky Mountain Journal of Mathematics, 2013
We show that a formal power series has positive radius of convergence if and only if it is uniformly Borel summable over a circle with center at the origin.
Jasson Vindas
exaly   +3 more sources

Analytic derivatives for perturbatively corrected “double hybrid” density functionals: Theory, implementation, and applications [PDF]

Journal of Chemical Physics, 2007
A recently proposed new family of density functionals [S. Grimme, J. Chem. Phys. 124, 34108 (2006)] adds a fraction of nonlocal correlation as a new ingredient to density functional theory (DFT).
Frank Neese, Tobias Schwabe, Stefan Grimme   +2 more
exaly   +2 more sources

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Generalization of analytic functions

Applied Mathematics and Computation, 2011
Abstract 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
openaire   +1 more source

Asymptotics of the Dispersion Interaction: Analytic Benchmarks for van der Waals Energy Functionals [PDF]

Physical Review Letters, 2006
We show that the usual sum of R-6 contributions from elements separated by distance R can give qualitatively wrong results for the electromagnetically nonretarded van der Waals interaction between nonoverlapping bodies.
John F Dobson, Angela White, Angel Rubio   +2 more
exaly   +2 more sources

Computability of Analytic Functions with Analytic Machines

2009
We 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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Iteration of Analytic Functions

The Annals of Mathematics, 1942
La 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 APPROXIMATIONS TO ANALYTIC FUNCTIONS

1994
Summary: 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.
openaire   +2 more sources

On the Recovery of Analytic Functions

Canadian Journal of Mathematics, 1996
AbstractIn 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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Analytic Functions I

2011
In this lecture, we shall first prove Theorem 6.5 and then through simple examples demonstrate how easily this result can be used to check the analyticity of functions. We shall also show that the real and imaginary parts of an analytic function are solutions of the Laplace equation.
Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas   +2 more
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Analyticity of Wightman Functions

Journal of Mathematical Physics, 1961
The problem of mapping certain domains in the space of complex four-vectors onto the space of their inner products is solved by a novel method. The ``primitive'' domains of regularity of the three and four point Wightman functions are determined. The domains whose X-space characterization was obtained by Streater, for the holomorphy envelope of the ...
openaire   +2 more sources