Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
A new result on the summation of the Kontorovich-Lebedev integral representation in the sense of Abel mean is given.
Czasopismo
Rocznik
Tom
Strony
101--107
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
- AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Cracow, Poland
autor
- National University of Trade and Economics Department of Higher and Applied Mathematics Kiev, Ukraine
Bibliografia
- [1] Brychkov Yu. A., Marichev O.I., Prudnikov A. P.: Integral and series. Vol. 1. Moscow, Nauka 1981, 800 (Russian).
- [2] Gomilko A.M.: The Kontorovich-Lebedev integral transform. Ukrainskii Matematicheskii Zhurnal. 43 (1991) 10, 1259-1261 (Russian). English transl.: Ukrainian Mathematical Journal, 1992, 1259-1263.
- [3] Grinchenko V. T., Ulitko A. F.: Three-dimensional Problems of the Theory of Elasticity. Vol. 3, Equilibrium of Elastic Bodies of Canonical Form. Kiev, Naukova dumka 1985, 280 (Russian).
- [4] Kontorovich M.I., Lebedev N.N.: On a method of solving certain problems of diffraction theory and related problems. Zh. Eksp. Teor. Fiz. 8 (1938) 10-11, 1192-1206 (Russian).
- [5] Lebedev N.N.: On an inversion formula. DAN 52 (1946), 395-398 (Russian).
- [6] Lebedev N.N.: On the representation of an arbitrary function by an integral involving cylinder functions of imaginary index and argument. Prikl. Matem. Mekh. 13 (1949) 5, 465-476 (Russian).
- [7] Lebedev N.N.: Special Functions and Applications. Moscow-Leningrad, Nauka 1963, 360 (Russian).
- [8] Titchmarsh E. C.: Introduction to the Theory of Fourier Integrals. Oxford, 1937.
- [9] Uflyand Ya. S.: Integral Transforms in Problems of Elasticity Theory. Leningrad, Nauka 1967, 404 (Russian).
- [10] Vu Kim Tuan, Yakubovich S.B.: The Kontorovich-Lebedev integral transform in a new class of Functions. Doklady Akad. Nauk Bel. SSR 29 (1985) 1, 11-14 (Russian).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGH4-0001-0021