Results 61 to 70 of about 13,689,528 (374)

A criterion for topological equivalence of two variable complex analytic function germs [PDF]

open access: yes, 2008
: We show that two analytic function germs (C 2 ,0) → (C,0) are topologically right equivalent if and only if there is a one-to-one correspondence between the irreducible components of their zero sets that preserves the multiplicites of these components,
A. Parusiński
semanticscholar   +1 more source

A Modified Analytic Function Space Feynman Integral and Its Applications

open access: yesJournal of Function Spaces, 2014
We analyze the generalized analytic function space Feynman integral and then defined a modified generalized analytic function space Feynman integral to explain the physical circumstances.
Seung Jun Chang   +2 more
doaj   +1 more source

Motivic Serre invariants, ramification, and the analytic Milnor fiber

open access: yes, 2007
We show how formal and rigid geometry can be used in the theory of complex singularities, and in particular in the study of the Milnor fibration and the motivic zeta function.
A. Bravo   +29 more
core   +2 more sources

On the non-analyticity locus of an arc-analytic function [PDF]

open access: yes, 2009
In this paper we show that the non-analyticity locus of an arc-analytic function is arc-symmetric. Recall that a function is called arc-analytic if it is real analytic on each real analytic arc.
K. Kurdyka, A. Parusiński
semanticscholar   +1 more source

The method of fundamental solutions for analytic functions in complex analysis

open access: yesAIMS Mathematics, 2022
This paper extends the method of fundamental solutions (MFS) for solving the boundary value problems of analytic functions based on Cauchy-Riemann equations and properties of harmonic functions. The conformal mapping technique is applied to introduce the
Xiaoguang Yuan   +3 more
doaj   +1 more source

Norm of an integral operator on some analytic function spaces on the unit disk

open access: yes, 2013
If f is an analytic function in the unit disc , a class of integral operators is defined as follows: If(h)(z)=∫0zf(w)h′(w)dw,h∈H(D),z∈D.
Hao Li, Songxiao Li
semanticscholar   +1 more source

The unpredictably eruptive dynamics of spruce budworm populations in eastern Canada

open access: yesPopulation Ecology, EarlyView.
We examine historical population data for spruce budworm from several locations through the period 1930–1997, and use density‐dependent recruitment curves to test whether the pattern of population growth over time is more consistent with Royama's (1984; Ecological Monographs 54:429–462) linear R(t) model of harmonic oscillation at Green River New ...
Barry J. Cooke, Jacques Régnière
wiley   +1 more source

Inequalities of harmonic univalent functions with connections of hypergeometric functions

open access: yesOpen Mathematics, 2015
Let SH be the class of functions f = h+g that are harmonic univalent and sense-preserving in the open unit disk U = { z : |z| < 1} for which f (0) = f'(0)-1=0. In this paper, we introduce and study a subclass H( α, β) of the class SH and the subclass NH(
Sokół Janusz   +3 more
doaj   +1 more source

Convoluted fractional differentials of various forms utilizing the generalized Raina's function description with applications

open access: yesJournal of Taibah University for Science, 2022
A generalized differential operator utilizing Raina's function is constructed in light of a certain type of fractional calculus. We next use the generalized operators to build a formula for analytic functions of type normalized.
Rabha W. Ibrahim, Dumitru Baleanu
doaj   +1 more source

Smoothness of Correlations in the Anderson Model at Strong Disorder

open access: yes, 2006
We study the higher-order correlation functions of covariant families of observables associated with random Schr\"odinger operators on the lattice in the strong disorder regime.
Bellissard, Jean V., Hislop, Peter D.
core   +1 more source

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