s17dl {NAGFWrappers} | R Documentation |
s17dl returns a sequence of values for the Hankel functions H_ν + n^(1)(z) or H_ν + n^(2)(z) for complex z, non-negative ν and n = 0 , 1 , . . . , N - 1, with an option for exponential scaling.
s17dl(m, fnu, z, n, scal)
m |
integer The kind of functions required. m = 1: The functions are H_ν^(1)(z). m = 2: The functions are H_ν^(2)(z). |
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 H_ν^(m)(z) , H_ν + 1^(m)(z) , . . . , H_ν + N - 1^(m)(z). |
scal |
string The scaling option. scal='U': The results are returned unscaled. scal='S': The results are returned scaled by the factor e^ - iz when m = 1, or by the factor e^iz when m = 2. |
R interface to the NAG Fortran routine S17DLF.
CY |
complex array The N required function values: cy[i] contains H_ν + i - 1^(m)(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 if Im(z) > 0.0 and m = 1, or Im(z) < 0.0 and m = 2, elements cy[1] , cy[2] , . . . , cy[nz] are set to zero. In the complementary half-planes, nz simply states the number of underflows, and not which elements they are. |
IFAIL |
integer ifail =0unless the function detects an error or a warning has been flagged (see the Errors section in Fortran library documentation). |
NAG
http://www.nag.co.uk/numeric/FL/nagdoc_fl23/pdf/S/s17dlf.pdf
ifail<-0 m<-1 fnu<-0 z<-complex(1,0.3,0.4) n<-2 scal<-'U' s17dl(m,fnu,z,n,scal)