Hankel Functions

Functions to compute cyclic and spherical Hankel functions of the first and second kinds.

Usage

cyl_hankel_1(v, x)

cyl_hankel_2(v, x)

sph_hankel_1(v, x)

sph_hankel_2(v, x)

Arguments

v

Order of the Hankel function

x

Argument of the Hankel function

Value

A single complex value with the computed Hankel function.

See also

Boost Documentation for more details on the mathematical background.

Examples

cyl_hankel_1(2, 0.5)
#> [1] 0.03060402-5.441371i
cyl_hankel_2(2, 0.5)
#> [1] 0.03060402+5.441371i
sph_hankel_1(2, 0.5)
#> [1] 0.01637111-25.05992i
sph_hankel_2(2, 0.5)
#> [1] 0.01637111+25.05992i