Results 21 to 30 of about 92,219 (262)
A note on neighborhoods of analytic functions having positive real part
International Journal of Mathematics and Mathematical Sciences, 1990 Let P denote the set of all functions analytic in the unit disk D={z||z|0. For δ≥0, let Nδ(p) be those functions q(z)=1+∑k=1∞qkzk analytic in D with ∑k=1∞|pk−qk|≤δ.
Janice B. Walker
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Forum of Mathematics, Sigma, 2023 Erdős [7] proved that the Continuum Hypothesis (CH) is equivalent to the existence of an uncountable family $\mathcal {F}$ of (real or complex) analytic functions, such that $\big \{ f(x) \ : \ f \in \mathcal {F} \big \}$ is countable for ...
Brent Cody, Sean Cox, Kayla Lee
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A screw dislocation located outside, inside or on the interface of a parabolic elastic inhomogeneity
Archives of Mechanics, 2021 Using conformal mapping techniques, superposition and analytic continuation, we derive analytic solutions to the problem of a screw dislocation interacting with a parabolic elastic inhomogeneity.
X. Wang, P. Schiavone
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On real analytic functions of unbounded type [PDF]
Revista Matemática Complutense, 2012 In this paper we prove several results on the existence of analytic functions on an infinite dimensional real Banach space which are bounded on some given collection of open sets and unbounded on others. In addition, we also obtain results on the density of some subsets of the space of all analytic functions for natural locally convex topologies on ...
López-Salazar Codes, Jerónimo +2 more
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Generating series of all modular graph forms from iterated Eisenstein integrals
Journal of High Energy Physics, 2020 We study generating series of torus integrals that contain all so-called modular graph forms relevant for massless one-loop closed-string amplitudes. By analysing the differential equation of the generating series we construct a solution for their low ...
Jan E. Gerken +2 more
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The Zero Set of a Real Analytic Function [PDF]
Mathematical Notes, 2020 A brief proof of the statement that the zero-set of a nontrivial real-analytic function in $d$-dimensional space has zero measure is provided.
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Spaces of Vector Valued Real Analytic Functions [PDF]
Transactions of the American Mathematical Society, 1964 In this paper we study the spaces of weakly and strongly analytic functions with values in a locally convex topological vector space F and we look for conditions on F such that these two spaces (which are different in general) should coincide. In the case of vector valued C' functions and of vector valued holomorphic functions, Grothendieck proved (cf.
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Piecewise Linearization of Real Analytic Functions
Publications of the Research Institute for Mathematical Sciences, 1984 Une fonction définie sur un polyèdre est appelée P. L. s'il existe une triangulation du polyèdre telle que la restriction de la fonction à tout simplexe soit linéaire. Une triangulation \(C^{\infty}\) d'une variété réelle analytique M est un couple formé par un complexe simplicial K et d'un homéomorphisme \(g: | K| \to M\), où \(| K|\) est le polyèdre ...
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A remark on the intersections of subanalytic leaves [PDF]
Opuscula Mathematica, 2016 We discuss a new sufficient condition - weaker than the usual transversality condition - for the intersection of two subanalytic leaves to be smooth. It involves the tangent cone of the intersection and, as typically non-transversal, it is of interest in
Maciej P. Denkowski
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Boundary Analysis of Control Systems using Schwarz Lemma
International Journal of Pioneering Technology and Engineering, 2022 In this paper, Schwarz lemma at the boundary is considered for analysis of transfer functions used in control systems. Two theorems are presented with their proofs by performing boundary analysis of the derivative of positive real functions evaluated at ...
Bülent Nafi Örnek, Timur Düzenli
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