THE GENERALIZED AIRY FUNCTIONS  

作　　者：史玉明[1] 韩振来[2] 朱冬梅 

机构地区：[1]山东大学 [2]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）

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.

关 键 词：generalized Airy equation generalized Airy function Bessel function. 

分 类 号：O174.53[理学—数学]