Computation of improper integral according to eigen-elements of 1st-genus hankel – (Kontorovych-Lebedev) hybrid differential operator – 2nd genus Legendre 2nd genus – Fourier on polar axis
Journal Title: Вісник Тернопільського національного технічного університету - Year 2017, Vol 86, Issue 2
Abstract
There were calculated using comparison method of solving the boundary problem on the polar axis segment with three junction points for the separate system consisting of Hankel, Kontorovich-Lebedev, Legendre and Fourier differential equations for the modified functions, which was built, on one side, by Cauchy function method, and on the other side, by the definite hybrid integral transformation, poly-parametric family of the improper integrals according to the eigen-elements of 1st-genus Hankel differential operator – (Kontorovich-Lebedev) 2nd–genus – Legendre 2nd–genus – Fourier.
Authors and Affiliations
Iryna Hotynchan
Keywords
Related Articles
- EP ID EP257708
- DOI -
- Views 41
- Downloads 0
Calculation of the plate plane stress in polar coordinate system on the basis of Lamé equation general solution
The mathematical model describing plane stress-strain state of plane elastic bodies in polar coordinate system is offered. To describe its three-dimensional stress state, three harmonic functions expressing the general s...
Integral equations for an thermoelastic anisotropic bimaterial with high temperature-conducting coherent interface
This paper studies the problem of an thermoelastic anisotropic bimaterial with highly conducting interface containing thin inclusions. Using the modified boundary element approach, the extended Stroh formalism and comple...
Non-destructive elemental analysis of steel 30 after boron coating with modern equipment for material quality control
Micro x-ray fluorescence analysis is widespread in industry and science due to its flexibility, accuracy and measurement speed, and ease of use. The method is based on the dependence of micro X-ray fluorescence intensity...
Providing the coherence of biosignal system in information analytical biomedical
For controlling and diagnosing of functional state, for correction functions of biological object the method of electrophysiological active research of this object often use. In particularly the use of low level light in...
Biaxial tension of a plate with a Griffiths crack
According to the elastic approach the biaxial loading problem of the plane with an elliptical defect was solved. Using the obtained solution and the deformation approach [1, 3] the solution for the cracked plane under th...