Generalized Integral Laplace Transform and Its Application to Solving Some Integral Equations

We present integral transforms $\widetilde {\mathcal L}\{f(t);x\}$ and $\widetilde {\mathcal L}_{\gamma_1,\gamma_2,\gamma} \{f(t);x\}$, generalizing the classical Laplace transform. The $(\tau, \beta)$- generalized confluent hypergeometric functions are the kernels of these integral transforms. At c...

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Bibliographic Details
Main Author: Svetlana M. Zaikina
Format: Article
Language:English
Published: Samara State Technical University 2014-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
Online Access:http://mi.mathnet.ru/eng/vsgtu1265