On the theory of special functions and their approximations

For general nonhomogeneous linear equations with one regular singular point, the questions of solvability, the structure of the corresponding Wronskians, and the Cauchy–Green functions are studied on a finite interval. Formulas for the resolvents of the resulting integral equations are obtained in explicit form. An effective method of constructing differential equations for the analytic parts of special functions is indicated, and an analytical method is worked out for their best asymptotic approximation, which at the same time gives a high degree of accuracy in their practical computation on computers.
Bibliography: 17 titles.