Geodesic
The solution of multidimensional integral Abel type equations with the Gauss hypergeometric function in kernels over pyramidal domain
Trudy Instituta matematiki, Tome 17 (2009) no. 1, pp. 71-78

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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. 
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     author = {A. A. Kilbas and O. V. Skoromnik},
     title = {The solution of multidimensional integral {Abel} type equations with the {Gauss} hypergeometric function in kernels over pyramidal domain},
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A. A. Kilbas; O. V. Skoromnik. The solution of multidimensional integral Abel type equations with the Gauss hypergeometric function in kernels over pyramidal domain. Trudy Instituta matematiki, Tome 17 (2009) no. 1, pp. 71-78. http://geodesic.mathdoc.fr/item/TIMB_2009_17_1_a6/