Generalized integral Laplace transform and its application to solving some integral equations
- Authors: Zaikina S.M1
-
Affiliations:
- Samara State Technical University
- Issue: Vol 18, No 1 (2014)
- Pages: 19-24
- Section: Articles
- URL: https://bakhtiniada.ru/1991-8615/article/view/20712
- DOI: https://doi.org/10.14498/vsgtu1265
- ID: 20712
Cite item
Full Text
Abstract
Full Text
##article.viewOnOriginalSite##About the authors
Svetlana M Zaikina
Samara State Technical University
Email: svetzai@inbox.ru
Postgraduate Student, Dept. of Applied Mathematics & Computer Science 244, Molodogvardeyskaya st., Samara, 443100, Russian Federation
References
- A. Erdélyi, Tables of Integral Transforms (Bateman Manuscript Project), New York, McGraw-Hill, 1954 (vol. 1, Moscow, Nauka, 1969; vol. 2, Moscow, Nauka, 1970 [Russian translation]).
- В. А. Диткин, А. П. Прудников, Интегральные преобразования и операционное исчисление, М.: Наука, 1974. 542 с.
- V. A. Ditkin, A. P. Prudnikov, Integral transforms and operational calculus / International series of monographs in pure and applied mathematics, vol. 78, Oxford, New York, Pergamon Press, 1965, xi+529 pp.
- A. A. Kilbas, M. Saigo, H-Transforms: Theory and Applications / Series on Analytic Methods and Special Functions, vol. 9, Boca Raton, CRC Press, 2004, xii+389 pp.
- I. N. Sneddon, The use of integral transforms, New York etc., McGraw-Hill Book Comp., 1972, xii+539 pp.
- Н. О. Вiрченко, Парнi (N -арнi) iнтегральнi рiвняння, Киïв Задруга, 2009. 476 с.
- N. Virchenko, “On the generalized confluent hypergeometric function and its applications” // Fract. Calc. Appl. Anal., 2006. vol. 9, no. 2. pp. 101-108.
- E. M. Wright, “The Asymptotic Expansion of the Generalized Hypergeometric Function” // J. London Math. Soc., 1935. vol. s1-10, no. 4. pp. 286-293. doi: 10.1112/jlms/s1-10.40.286.
- О. А. Репин, С. М. Заикина, “Некоторые новые обобщенные интегральные преобразования и их применение в теории дифференциальных уравнений” // Вестн. Сам. гос. техн. ун-та. Сер. Физ.-мат. науки, 2011. No 2(23). С. 8-16. doi: 10.14498/vsgtu913.
- N. Virchenko, S. L. Kalla, S. Zaikina, “On some generalized integral transforms” // Handronic Journal, 2009. vol. 32, no. 5. pp. 539-548.
Supplementary files
