复变量广义Airy函数
Generalized Airy Functions with Complex Variables
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摘要: 本文详尽研究了在波传播与流动稳定性问题中有广泛应用的广义Airy函数,给出了复变量广义Airy函数的一系列图表.计算结果是令人满意的.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.
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[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).
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