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keisanHigh-precision calculations for everyday life and work

Spherical Bessel functions

TOP/Special functions/Spherical Bessel functions
ライブラリ名概要
Spherical Bessel functionsCalculates the values of the first-kind spherical Bessel function jv(x), the second-kind spherical Bessel function yv(x), and their derivatives j'v(x) and y'v(x).
Spherical Bessel functions (zeroes)Compute the s-th zero on the positive half of the first-kind spherical Bessel function jv(x) and the second-kind spherical Bessel function yv(x).
Type 1 spherical Bessel functions (graph)Calculate and plot a table of the first-kind spherical Bessel function jv(x).
Type 2 spherical Bessel functions (graph)Calculate the table for the first-kind spherical Bessel function yv(x) and plot it.
Modified Bessel functionsCalculates the values of the first kind modified spherical Bessel function iv(x), the second kind modified spherical Bessel function kv(x), and their derivatives i'v(x) and k'v(x).
Type 1 Modified Spherical Bessel Functions (Graph)Calculate the table of the first-kind modified spherical Bessel function iv(x) and plot it.
Type 2 Modified Spherical Bessel Functions (Graph)Calculate and plot a table of the second-kind modified spherical Bessel function kv(x).
Spherical Hankel functionCalculate the values of the first-kind Hankel function hv(1)(x), the second-kind Hankel function hv(2)(x), and their derivatives h'v(1)(x) and h'v(2)(x).
Spherical Hankel function (graph)Calculate and plot tables for the first-kind Hankel function hv(1)(x) and the second-kind Hankel function hv(2)(x).