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Many problems of applied mathematics are reduced to the solution of integralequations with special functions in kernels, therefore the inversion formulasfor such equations play an important role in solving boundary value problemsfor second-order partial differential equations. In this paper, we introduceone degenerate hypergeometric function of two variables through which thesolution of the Volterra integral equation of the first kind studing here isexpressed.

vestnik nacionalʹnogo tehničeskogo universiteta "hpi". informatika i modelirovanie

The inversion formula for the Volterra integral equation with the  Humbert function in the nuclear and its applications to the boundary value  problems