Results 1 to 10 of about 79,736 (260)
Hyper-power series and generalized real analytic functions. [PDF]
Mon Hefte Math, 2023 AbstractThis article is a natural continuation of the paper Tiwari, D., Giordano, P., Hyperseries in the non-Archimedean ring of Colombeau generalized numbers in this journal. We study one variable hyper-power series by analyzing the notion of radius of convergence and proving classical results such as algebraic operations, composition and reciprocal ...
Tiwari D, Mukhammadiev A, Giordano P.
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Real analytic generalized functions [PDF]
Monatshefte Fur Mathematik, 2008 Real analytic generalized functions are investigated as well as the analytic singular support and analytic wave front of a generalized function in $\mathcal{G}(Ω)$ are introduced and described.
Stevan Pilipovic, D Scarpalezos
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On real analytic functions on closed subanalytic domains. [PDF]
Arch MathAbstractWe show that a function$$f: X \rightarrow {\mathbb {R}}$$f:X→Rdefined on a closed uniformly polynomially cuspidal setXin$${\mathbb {R}}^n$$Rnis real analytic if and only iffis smooth and all its composites with germs of polynomial curves inXare real analytic.
Rainer A.
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Limits of quotients of bivariate real analytic functions
Journal of Symbolic Computation, 2013 Necessary and sufficient conditions for the existence of limits of the form lim"("x","y")"->"("a","b")f(x,y)/g(x,y) are given, under the hypothesis that f and g are real analytic functions near the point (a,b), and g has an isolated zero at (a,b). The given criterion uses a constructive version of [email protected]?s Lemma which could be implemented in
Carlos A. Cadavid +2 more
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Positive Semidefinite Analytic Functions on Real Analytic Surfaces
Journal of Geometric Analysis, 2021 27 ...
JOSÉ F Fernando, Fernando JOSÉ F
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Mean-value properties of real analytic functions [PDF]
Archiv Der Mathematik, 2012 A classical result of Pizzetti gives a formula for the spherical mean values of \(C^{2k}\) functions in a ball in \(\mathbb{R}^{d}\). The author extends this formula to the case of real analytic functions; cf. Lemma 1 in [\textit{D. H. Armitage} and \textit{Ü. Kuran}, J. Math. Anal. Appl. 171, No. 2, 516--531 (1992; Zbl 0770.31002)].
Grzegorz Łysik
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Hadamard Product of Certain Multivalent Analytic Functions with Positive Real Parts
Mathematics, 2022 This paper aims to provide sufficient conditions for starlikeness and convexity of Hadamard product (convolution) of certain multivalent analytic functions with positive real parts.
Abdel Moneim Y. Lashin, Mohamed K. Aouf
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Applied Mathematics in Science and Engineering, 2022 The study of statistical distributions in a complex variable is one of the most vibrant areas of research. The complex analogue of many distributions has been studied.
Rubab Nawaz +5 more
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Functional equations in real-analytic functions [PDF]
Studia Mathematica, 2000 Consider the functional equation \[ \phi(x)=g(x,\phi(Fx)) \] where \(F:X\to X\) (\(X\) real analytic manifold countable at infinity, \(dim X=m\)), \(g:X\times \mathbb R^n \to \mathbb R^n\) and \(\phi:X \to \mathbb R^n\) are real-analytic functions (\(\phi\) is the unknown function).
Belitskii, G., Tkachenko, V.
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A functional inequality for real-analytic functions [PDF]
Aequationes Mathematicae, 1992 For \(f\in C^ n(R)\) and \(0\leq t\leq x\) let \(J_ n(f,t,x)=(-1)^ n f(- x)f^{(n)}(t)+f(x)f^{(n)}(-t)\). The authors establish that the only real-analytic functions satisfying \(J_ n(f,t,x)\geq 0\) for all \(n=0,1,2,\dots\) are the exponential functions \(f(x)=ce^{\lambda x}\), \(c,\lambda\in R\).
Alzer, Horst, Jagers, Bert
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