s17de {NAGFWrappers}R Documentation

s17de: Bessel functions J_nu + a(z), real a >= 0, complex z, nu = 0 , 1 , 2 , . . .

Description

s17de returns a sequence of values for the Bessel functions J_ν + n(z) for complex z, non-negative ν and n = 0 , 1 , . . . , N - 1, with an option for exponential scaling.

Usage

s17de(fnu, z, n, scal)

Arguments

fnu

double

ν

, the order of the first member of the sequence of functions.

z

complex

The argument z of the functions.

n

integer

N

, the number of members required in the sequence J_ν(z) , J_ν + 1(z) , . . . , J_ν + N - 1(z).

scal

string

The scaling option.

scal='U'

: The results are returned unscaled.

scal='S'

: The results are returned scaled by the factor e^ - abs(Im(z)).

Details

R interface to the NAG Fortran routine S17DEF.

Value

CY

complex array

The N required function values: cy[i] contains J_ν + i - 1(z) for i=1 . . . N.

NZ

integer

The number of components of cy that are set to zero due to underflow. If nz > 0, then elements cy[n-nz+1], cy[n-nz+2] , . . . , cy[n] are set to zero.

IFAIL

integer

ifail =0

unless the function detects an error or a warning has been flagged (see the Errors section in Fortran library documentation).

Author(s)

NAG

References

http://www.nag.co.uk/numeric/FL/nagdoc_fl23/pdf/S/s17def.pdf

Examples


ifail<-0

fnu<-0

z<-complex(1,0.3,0.4)

n<-2

scal<-'U'

s17de(fnu,z,n,scal)
[Package NAGFWrappers version 24.0 Index]