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keisanHigh-precision calculations for everyday life and work

Bessel functions

TOP/Special functions/Bessel functions
ライブラリ名概要
Bessel functionsCalculates the values of the first-kind Bessel function Jv(x), the second-kind Bessel function Yv(x), and their derivatives J'v(x) and Y'v(x).
Bessel functions (zeroes)Compute the s-th zero on the positive side of the first-kind Bessel function Jv(x) and the second-kind Bessel function Yv(x).
Class 1 Bessel Functions (Graph)Calculate the table of the first-kind Bessel function Jv(x) and plot it.
Bessel Functions of the Second Kind (Graph)Calculate the table of the second-kind Bessel function Yv(x) and plot it.
Modified Bessel functionsCalculates the values of the first-kind modified Bessel function Iv(x), the second-kind modified Bessel function Kv(x), and their derivatives I'v(x) and K'v(x).
Type 1 Modified Bessel Functions (Graph)Calculate the table of the first kind of modified Bessel function Iv(x) and plot it.
Type 2 Modified Bessel Functions (Graph)Calculate the table of the second-kind modified Bessel function Kv(x) and plot it.
Hankel functionCalculates 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).
Hankel function (graph)Calculate and plot tables of the real and imaginary parts of the first-kind Hankel function Hv(1)(x), the second-kind Hankel function Hv(2)(x), and their derivatives.