Riemann integral operator for nonstationary processes in the axisymmetric case

A generalization of the Riemann operator method is proposed, which can be used to analyze in a unified framework the linear equations of nonstationary processes in the axisymmetric case. An integral representation of the solutions of a hyperbolic and a parabolic equation is constructed. The use of the apparatus of special functions produces a simple representation of solutions of partial differential equations, which is convenient for analysis.Translated from Vychislitel'naya i Prikladnaya Matematika, No. 72, pp. 16–22, 1990.