scholarly journals Extension of the axiomatic analyticity domain: Kaon-Kaon and Pion-Kaon scattering

1967 ◽  
Vol 52 (3) ◽  
pp. 850-865 ◽  
Author(s):  
G. Sommer
Keyword(s):  
Analyticity Domain

The analyticity domain of the five point function

1962 ◽  
Vol 35 ◽  
pp. 434-450 ◽  
Author(s):  
Nils Henrik Möller
Keyword(s):  
Point Function ◽  
Analyticity Domain

The analyticity domain of the four point function

1961 ◽  
Vol 25 ◽  
pp. 568-603 ◽  
Author(s):  
Gunnar Ka¨llén
Keyword(s):  
Point Function ◽  
Analyticity Domain

scholarly journals An approximate solution of the one class third order onlinear differential equation in the analyticity domain

2020 ◽  
pp. 45-54
Author(s):  
Виктор Николаевич Орлов ◽  
Рио-Рита Вадимовна Разакова
Keyword(s):  
Approximate Solution ◽  
Existence And Uniqueness ◽  
A Priori Estimates ◽  
Nonlinear Differential Equations ◽  
A Priori ◽  
Existence And Uniqueness Theorem ◽  
Third Order ◽  
Analyticity Domain ◽  
Priori Estimates ◽  
The One

В работе рассмотрен класс нелинейных дифференциальных уравнений третьего порядка с полиномиальной правой частью шестой степени. Доказана теорема существования и единственности решения в области аналитичности. Построено аналитическое приближенное решение. Предложен вариант оптимизации априорных оценок с помощью апостериорных. Проведен численный эксперимент. There is a class of third-order nonlinear differential equations with polynomial right part of the sixth degree considered in the paper. The existence and uniqueness theorem of a solution in the domain of analyticity is proved by authors. There is an analytical approximate solution which was constructed by V. Orlov and R. Razakova. A variant of optimization of a priori estimates using posterior ones is proposed by authors. A numerical experiment is carried out too.

scholarly journals THE ANALYTICITY DOMAIN OF SPECTRAL DENSITY OF THE ELECTROMAGNETIC FIELD IN A VERTICALLY INHOMOGENEOUS CONDUCTIVE MEDIUM

2020 ◽  
pp. 37-48
Author(s):  
S. A. Terentyev ◽  
A. K. Guts
Keyword(s):  
Electromagnetic Field ◽  
Spectral Density ◽  
Magnetic Dipole ◽  
Complex Variable ◽  
Layered Medium ◽  
Integration Contour ◽  
Deformation Region ◽  
Conductive Medium ◽  
Analyticity Domain ◽  
Uniform Medium

The electromagnetic field in electrical exploration problems is often represented as integrals with a fast-oscillating nucleus. When calculating these integrals on a computer, it is necessary to deform the contour of integration into the plane of the complex variable. The article studies the allowable deformation region of the integration contour in the case of a non-uniform medium, in which strong and weak solutions of electromagnetic field are analytical. The source of the field is a vertical dipole. A similar problem was solved for a horizontally layered medium with a harmonious electrical or magnetic dipole as a source.

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