关于函数G0(x)、G1(x)、Jn(x√¯i)的数值计算

Proceedings of the Royal Society of London Pub Date : 2017-01-01 DOI:10.1098/rspl.1899.0069

W. S. Aldis

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摘要

1. 方程d2y/dx2 + 1/x·dy/dx - (1+n2/x2)y =0的完全解可以写成y = AIn(x)+BKn(x)，其中In(x) =∑r=∞r=0 (1/2x)n+2r/ II (r). II (n+r) ........(1);

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On the numerical computation of the functions G0(x), G1(x), and Jn(x√¯i)

1. The complete solution of the equation d2y/dx2 + 1/x · dy/dx ‒ (1+n2/x2)y = 0 May be written y = AIn(x)+BKn(x), where In(x) = ∑r=∞ r=0 (1/2x)n+2r/ II (r). II (n+r) ........ (1) ;

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Proceedings of the Royal Society of London

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