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Trudy Instituta Matematiki, 2009, Volume 17, Number 1, Pages 71–78 (Mi timb30)  
This article is cited in 1 scientific paper (total in 1 paper)

The solution of multidimensional integral Abel type equations with the Gauss hypergeometric function in kernels over pyramidal domain

A. A. Kilbasa, O. V. Skoromnikb

a Belarusian State University
b Polotsk State University
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Abstract: Multidimensional integral equations of the first kind with the Gauss hypergeometric function in the kernels over special pyramidal domains are studied. Solutions of these equations in closed form are established, and necessary and sufficient conditions for their solvability in the space of summable functions are given.
Received: 19.07.2007
Bibliographic databases:
Document Type: Article
UDC: 517.948
Language: Russian
Citation: A. A. Kilbas, O. V. Skoromnik, “The solution of multidimensional integral Abel type equations with the Gauss hypergeometric function in kernels over pyramidal domain”, Tr. Inst. Mat., 17:1 (2009), 71–78
Citation in format AMSBIB
\Bibitem{KilSko09}
\by A.~A.~Kilbas, O.~V.~Skoromnik
\paper The solution of multidimensional integral Abel type equations with the Gauss hypergeometric function in kernels over pyramidal domain
\jour Tr. Inst. Mat.
\yr 2009
\vol 17
\issue 1
\pages 71--78
\mathnet{http://mi.mathnet.ru/timb30}
\zmath{https://zbmath.org/?q=an:1181.45007}
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    • This publication is cited in the following 1 articles:
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