Results 21 to 30 of about 13,689,528 (374)
Local topological algebraicity of analytic function germs [PDF]
, 2014 T. Mostowski showed that every (real or complex) germ of an analytic set is homeomorphic to the germ of an algebraic set. In this paper we show that every (real or complex) analytic function germ, defined on a possibly singular analytic space, is ...
Marcin Bilski, A. Parusiński, G. Rond
semanticscholar +1 more source
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
doaj +1 more source
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
semanticscholar +1 more source
Analytic Error Function and Numeric Inverse Obtained by Geometric Means
Stats, 2023 Using geometric considerations, we provided a clear derivation of the integral representation for the error function, known as the Craig formula. We calculated the corresponding power series expansion and proved the convergence.
Dmitri Martila, Stefan Groote
doaj +1 more source
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
openaire +2 more sources
The Lerch Zeta Function II. Analytic Continuation [PDF]
, 2010 This is the second of four papers that study algebraic and analytic structures associated with the Lerch zeta function. In this paper we analytically continue it as a function of three complex variables.
Apostol T. M. +7 more
core +1 more source
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 $R$.
openaire +2 more sources
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
semanticscholar +1 more source
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.
openaire +3 more sources
Evaluating analytic gradients on quantum hardware [PDF]
Physical Review A, 2018 An important application for near-term quantum computing lies in optimization tasks, with applications ranging from quantum chemistry and drug discovery to machine learning.
M. Schuld +4 more
semanticscholar +1 more source