Results 1 to 10 of about 273,067 (317)
Normality of Composite Analytic Functions and Sharing an Analytic Function [PDF]
Fixed Point Theory and Applications, 2010 AbstractA result of Hinchliffe (2003) is extended to transcendental entire function, and an alternative proof is given in this paper. Our main result is as follows: let "Equation missing" be an analytic function, "Equation missing" a family of analytic functions in a domain "Equation missing", and "Equation missing" a transcendental entire function. If
Qifeng Wu, Bing Xiao, Wenjun Yuan
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q-analytic functions, fractals and generalized analytic functions [PDF]
Journal of Physics A: Mathematical and Theoretical, 2014 We introduce a new class of complex functions of complex argument which we call q-analytic functions. These functions satisfy q-Cauchy–Riemann equations and have real and imaginary parts as q-harmonic functions. We show that q-analytic functions are not the analytic functions.
Pashaev, Oktay K., Nalci, Sengul
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On the mean value of the Near Pseudo Smarandache Function [PDF]
, 2006 The main purpose of this paper is using the analytic method to study the asymp- totic properties of the Near Pseudo Smarandache Function, and give two interesting asymptotic formulae for ...
Yang, Hai, Fu, Ruiqin
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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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Functional Dependence and Analytic Functions [PDF]
Canadian Mathematical Bulletin, 1979 AbstractWithout appealing to the Cauchy theorem or its corollaries, it is proved that the real and imaginary parts of a non-constant complex-valued analytic function of several complex variables are functionally independent. This unifies and generalizes some results sporadically treated in standard treatises on function theory.
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On the Smarandache function and the divisor product sequences [PDF]
, 2009 Let n be any positive integer, Pd(n) denotes the product of all positive divisors of n. The main purpose of this paper is using the elementary and analytic methods to study the mean value properties of a new arithmetical function S (Pd(n)), and give an ...
Mingdong, Xiao
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On a Smarandache multiplicative function and its parity [PDF]
, 2008 For any positive integer n, we define the Smarandache multiplicative function U(n) as follows: V (1) = 1. If n> 1 and n = p α1 1 pα2 2 · · · pαs s denotes the factorization of n into prime powers, then U(n) = max{α1 · p1, α2 · p2, · · · , αs ...
Wenjing Xiong, Xiong, Wenjing
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materialstheory/ml-analytic-continuation
, 2022 This repository contains codes and some data for the machine learning for analytic continuation project. It uses a multi-level residual network to continue the DMFT Green's function to the spectral function as presented in the accompanying ...
Maximilian E. Merkel, Rong Zhang
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Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]
, 2013 We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri +3 more
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Clustering by analytic functions
Information Sciences, 2012 Data clustering is a combinatorial optimization problem. This article shows that clustering is also an optimization problem for an analytic function. The mean squared error, or in this case, the squared error can expressed as an analytic function. With an analytic function we benefit from the existence of standard optimization methods: the gradient of ...
Malinen Mikko, Fränti Pasi
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