变形Bessel函数与高阶双转点的方程

SHAPED BESSEL FUNCTIONS AND ODE WITH TWO HIGHER ORDER TURNING POINTS

运用变形Ｂｅｓｓｅｌ函数这一工具，研究一类带双转点的方程εｙ″＋ （ｘ － ａ）ｍ （ｂ－ ｘ）ｎｆ（ｘ）ｙ′＋（ｘ － ａ）ｍ － １（ｂ － ｘ）ｎ－ １ｇ（ｘ） ·ｙ ＝ ０，０ ＜ ｘ ＜ １，０ ＜ ａ ＜ ｂ ＜ １ 的解的渐近性态，并用匹配方法求得解的渐近展开．

The asymptotic behaviors of solution of a ODE with two higher order turning points are studied in this paper, by using shaped Bessel functions, also, the asymptotic expression of the solution is discussed by the method of matching asymptotic expressing.