【摘要】 提出了一种复宗量圆柱函数数值计算的新方法。该方法通过研究各类圆柱函数模值随其阶数ｎ的变化关系，提出了首先解决复宗量第二类修正Ｂｅｓｓｅｌ函数Ｋｎ（ｚ）的数值计算，然后应用Ｊｎ（ｚ）、Ｋｎ（ｚ）与其它圆柱函数的关系，解决Ｙｎ（Ｚ）、（ｚ）的数值计算方法。在计算机允许的数值范围内，该方法对圆柱函数的阶数及宗量范围均没有限制，而且计算精度高、编程简单。更多还原

【Abstract】 A Tigorous algorithm for the computation of integer order cylindrical functions with complex arguments is discussed in tile paper. After the varying relations between the magnitudes and the orders n of all kinds ofcylindrical functions being studied, it is proposed that the numerical computation of the modified Bessel function K.(z) of the second kind is first resolved, then the other cylindrical functions Yn(z), (z) and (z) are computed by tile relations between Kn(z) and other cylindrical functions. The algorithm is possessed of high accuracyand simple programming. The order and argument are limited only by the ability of the computer to handle largenumbers.更多还原