Results 11 to 20 of about 13,555,709 (372)
Zeros of a random analytic function approach perfect spacing under repeated differentiation [PDF]
, 2014 We consider an analytic function $f$ whose zero set forms a unit intensity Poisson process on the real line. We show that repeated differentiation causes the zero set to converge in distribution to a random translate of the integers.
Robin Pemantle, Sneha Subramanian
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Integral Criteria for Weighted Bloch Functions
Journal of Mathematics, 2021 The present manuscript gives analytic characterizations and interesting technique that involves the study of general ϖ-Besov classes of analytic functions by the help of analytic ϖ-Bloch functions.
A. El-Sayed Ahmed, M. A. Bakhit
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On equivalent analytic functions [PDF]
Arkiv för Matematik, 1949 Bengt J. Andersson
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Generalized Analytic Functions [PDF]
Transactions of the American Mathematical Society, 1956 algebra; the group r becomes the boundary of the disc, and all functions take their maximum modulus on r. For interior points r of the disc, there is a measure on r such that the value at r is given by an integral of the boundary values. This "Poisson integral" is studied in detail, and it is shown that one of these "generalized holomorphic" functionsf
Isadore Manuel Singer, Richard Arens
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Refined analytic torsion as analytic function on the representation variety and applications [PDF]
, 2016 We prove that refined analytic torsion on a manifold with boundary is an analytic section of the determinant line bundle over the representation variety. As a fundamental application we establish a gluing formula for refined analytic torsion on connected
Braverman, Maxim, Vertman, Boris
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The busy function: a new analytic function for describing the integrated 21-cm spectral profile of galaxies [PDF]
, 2013 Accurate parametrization of galaxies detected in the 21-cm HI emission is of fundamental importance to the measurement of commonly used indicators of galaxy evolution, including the Tully-Fisher relation and the HI mass function.
T. Westmeier +4 more
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Archive for Mathematical Logic, 2016 We introduce the notion of $R$-analytic functions. These are definable in an o-minimal expansion of a real closed field $R$ and are locally the restriction of a $K$-differentiable function (defined by Peterzil and Starchenko) where $K=R[\sqrt{-1}]$ is the algebraic closure of $R$.
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SOME RESULTS ON JACK’S LEMMA FOR ANALYTIC FUNCTIONS
Journal of Amasya University the Institute of Sciences and Technology, 2022 In this paper, an upper bound will be found for the second coefficient in the Taylor expansion of the analytical function $p(z)$ using the Jack lemma. Also, the modulus of the angular derivative of the $I_{f}(z)=\frac{zp^{\prime }(z)}{p(z)}$ function on ...
Bülent Nafi Örnek
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On the growth of analytic functions [PDF]
Transactions of the American Mathematical Society, 1938 1. P6lya,4 in a restricted case, and Bernstein,? under rather general conditions, have, to state their results roughly, proved that the rate of growth of an analytic function along a line can be determined by its growth along a suitable sequence of discrete points on the line.
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Fluctuations in the Zero Set of the Hyperbolic Gaussian Analytic Function [PDF]
, 2013 The zero set of the hyperbolic Gaussian analytic function is a random point process in the unit disc whose distribution is invariant under automorphisms of the disc. We study the variance of the number of points in a disc of increasing radius.
Jeremiah Buckley
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