Generalized Airy Functions with Complex Variables

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Li Jia-chun, Zhao Da-gang. Generalized Airy Functions with Complex Variables[J]. Applied Mathematics and Mechanics, 1985, 6(11): 969-975.

Citation:

Li Jia-chun, Zhao Da-gang. Generalized Airy Functions with Complex Variables[J]. Applied Mathematics and Mechanics, 1985, 6(11): 969-975.

Citation:

Li Jia-chun, Zhao Da-gang. Generalized Airy Functions with Complex Variables[J]. Applied Mathematics and Mechanics, 1985, 6(11): 969-975.

Abstract

In the present paper, we have made a detailed study of the generalized Airy functions, which have found wide applications in the field of wave propagation and hydrodynamic stability. A series of tables and graphs are provided for the above functions with complex variables. The results are proved satisfactory.

[1]	李家春、戴世强,数学物理中的渐近方法,中国科学院研究生院,北京(1984).
[2]	李家春,流动稳定性和渐近方法,力学与实践,3, 4 (1981).
[3]	岳曾元,关于奇异摄动理论在自引力介质波动中的应用,力学学报,6 (1983).
[4]	Reid,W. H.,Composite approximation to the solutions of the Orr-Sommerfeld equation,Studies in Appl Math.,51,4(1972).
[5]	Reid,W. H.,An exact solution of the Orr-Sommerfeld equatior for plane couette flow, Studies in Appl.Math,61, 1 (1979).
[6]	Lakin,W. D. et al, Approximations to the eigenvalue relation for the Orr-Sommerfeld problem,Phi.Trans.Roy.Soc.Lon.,289,1360(1978).
[7]	Abramowitz M.and Ⅰ.A.Stegun,Handbook of Mathematical Functions with Formulas,Graphs and Mathematical Tables,Wash.,Us Gpo(1965).