|
|
|
Библиографический список
|
|
|
1. |
Saitoh S., Integral Transforms, Reproducing Kernels and their Applications, Pitman Res. Notes in Math. Series, 369, Addison Wesley Longman Ltd., L., 1997, 280 pp. |
2. |
Kilbas A. A., Saigo M., H-Transform. Theory and Applications, Chapman and Hall/CRC, Boca Raton, L.–N.Y.–Washington, D.C., 2004, 386 pp. |
3. |
Лебедев Н. Н., Скальская И. П., “Некоторые интегральные преобразования, родственные преобразованию Конторовича–Лебедева”, Вопросы матем. физики, Наука. Ленингр. отд-ние, Л., 1976, 68–79 [Lebedev N. N., Skalskaya I. P., “Some integral transforms related to Kontorovich–Lebedev transform”, Problems of mathematical physics, Nauka, L., 1976, 68–79 (in Russian)] |
4. |
Лебедев Н. Н., Скальская И. П., “Парные интегральные уравнения, связанные с преобразованием Конторовича–Лебедева”, Прикл. матем. и мех., 38:6 (1974), 1090–1097 [Lebedev N. N., Skalskaya I. P., “Dual integral equations connected with Kontorovich–Lebedev transform”, Appl. Math. Mech., 38:6 (1974), 1090–1097 (in Russian)] |
5. |
Yakubovich S. B., Index Transforms, World Scientific Publishing, Singapore–New Jersey–L.–Hongkong, 1996, 248 pp. |
6. |
Поручиков В. Б., Раппопорт Ю. М., “Формулы обращения для модифицированных преобразований Конторовича–Лебедева”, Дифференц. уравнения, 20:3 (1984), 542–546 [Poruchikov V. B., Rappoport J. M., “Inversion formulas for modified Kontorovich–Lebedev transforms”, Differ. Equations, 20:3 (1984), 542–546 (in Russian)] |
7. |
Раппопорт Ю. М., “Некоторые свойства модифицированных преобразований Конторовича–Лебедева”, Дифференц. уравнения, 21:4 (1985), 724–727 [Rappoport J. M., “Some properties of modified Kontorovich–Lebedev transforms”, Differ. Equations, 21:4 (1985), 724–727 (in Russian)] |
8. |
Rappoport J. M., “Some results for modified Kontorovitch–Lebedev integral transforms”, Proceedings of the 7th International Colloquium on Finite or Infinite Dimensional Complex Analysis, Marcel Dekker Inc., 2000, 473–477 |
9. |
Rappoport J. M., “The properties, inequalities and numerical approximation of modified Bessel function”, Electronic Transactions on Numerical Analysis, 25 (2006), 454–466 |
10. |
Rappoport J. M., About modified Kontorovitch–Lebedev integral transforms and their kernels, Preprint 09P/001, Imperial College of Science, Technology and Medicine, Department of Mathematics, L., 2009, 31 pp. |
11. |
Rappoport J. M., “Some integral equations with modified Bessel function”, More Progresses in Analysis, Proceedings of the 5th ISAAC Congress, World Scientific Publishing, Singapore–New Jersey–L.–Hongkong, 2009, 269–278 |
12. |
Yakubovich S. B., “Beurling's theorems and inversion formulas for certain index transforms”, Opuscula Mathematica, 29:1 (2009), 93–110 |