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.