Asymptotic representations for differential equations with a regular singular point

Archive for Rational Mechanics and Analysis - Tập 3 - Trang 206-218 - 1959
Karl G. Guderley1
1Wright Air Development Center, Aeronautical Research Laboratory, Dayton

Tài liệu tham khảo

Guderley, K. G.: Asymptotic solutions for differential equations with a regular singular point. WADC TR 58-617. Erdélyi, A.: Asymptotic expansions. Dover Publications, Inc. Thorne, R. C.: The asymptotic solution of differential equations with a turning point and singularities. Proc. Cambridge Philos. Soc. 53, 382–398 (1957). Thorne, R. C.: The asymptotic solution of linear second order differential equations in a domain containing a turning point and a regular singularity. Phil. Trans. Roy. Soc. London, Ser. A 249, 585–596 (1957). Kazarinoff, N. D., & R. McKelvey: Asymptotic solution of differential equations in a domain containing a regular singular point. Can. J. Math. 8, 97–104 (1956). Cashwell, E. D.: The asymptotic solutions of an ordinary differential equation in which the coefficient of the parameter is singular. Pacif. J. Math. 1 337–352 (1951).