任意阶复宗量贝塞尔函数的数值计算  

Numerical Calculation of Bessel Functions with Complex Argument for Arbitrary Orders

作　　者：魏彦玉[1] 宫玉彬[1] 王文祥[1] 

机构地区：[1]电子科技大学高能电子所

出　　处：《电子科技大学学报》1998年第2期171-176,共6页Journal of University of Electronic Science and Technology of China

基　　金：电子部预研基金

摘　　要：根据贝塞尔函数的级数展开式，详细讨论了任意阶第一、二类复宗量贝塞尔函数的数值计算方法，这种计算方法具有快速、精确的特点，而且不受阶数（包括整数和分数阶）的限制，所得计算结果与Ｍａｔｈｅｍａｔｉｃａ计算结果进行了比较，具有较高的精度。The rigorous theoretical formula to calculate the first and second kinds of arbitrary real order Bessel functions with complex argument is derived by means of the series expansion in this paper.The modified Bessel functions of the first and second kind with complex argument can also be calculated by these formula.The discrepancy of the numerical results obtained in this paper is compared to those given by the mathematica software package.

关 键 词：复宗量 任意实数阶 贝塞尔函数 级数展开 

分 类 号：O174.61[理学—数学]