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THE GENERALIZED AIRY FUNCTIONS

THE GENERALIZED AIRY FUNCTIONS *
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摘要 This paper is concerned with the second order linear differential equationd 2ydx 2-x λ y=0, which is called the generalized Airy equation of order λ , where the constant λ≥ 0 (not necessary positive integer) satisfies (-1) λ =± 1 . The properties of its two special linearly independent real-valued solutions, called the generalized Airy function of order λ , are systematically investigated. This paper is concerned with the second order linear differential equationd 2ydx 2-x λ y=0, which is called the generalized Airy equation of order λ , where the constant λ≥ 0 (not necessary positive integer) satisfies (-1) λ =± 1 . The properties of its two special linearly independent real-valued solutions, called the generalized Airy function of order λ , are systematically investigated.
机构地区 山东大学 济南大学
出处 《Annals of Differential Equations》 1998年第2期189-196,共8页 微分方程年刊(英文版)
关键词 generalized Airy equation generalized Airy function Bessel function. generalized Airy equation, generalized Airy function,Bessel function.
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