On a class of hybrid integral transformations (Bessel-Fourier-Bessel-...-Fourier-Bessel) on the polar axis with 2n junction points
- 33 Downloads
The hybrid integral transformations (Bessel-Fourier-Bessel-...-Fourier-Bessel) are constructed on the polar axis with 2n junction points by using the method of a delta-shaped sequence regarded as a Dirichlet kernel. The principal identity of the integral transformation of a differential operator is obtained.
KeywordsDifferential Operator Polar Axis Integral Transformation Principal Identity Junction Point
Unable to display preview. Download preview PDF.
- 1.M. P. Lenyuk,Investigation of the Main Boundary-Value Problems for the Bessel Dissipative Wave Equation [in Russian], Preprint No. 83.3, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1983).Google Scholar
- 2.V. V. Stepanov,A Course of Differential Equations [in Russian], Fizmatgiz, Moscow (1959).Google Scholar
- 3.G. E. Shilov,Mathematical Analysis. The Second Special Course [in Russian], Nauka, Moscow (1965).Google Scholar
- 4.I. S. Gradshteyn and I. M. Ryzhik,Table of Integrals, Series, and Products, Academic Press, New York (1980).Google Scholar
- 5.G. M. Fikhtengol'ts,A Course of Differential and Integral Calculus [in Russian], Vol. 3, Nauka, Moscow (1965).Google Scholar