Modified Struve functions and related functions
These functions return the values of the modified Struve functions and related functions
struveH(x, nu) struveL(x, nu, expon.scaled=FALSE) I0L0(x)
x |
non-negative numeric vector |
nu |
numeric vector |
expon.scaled |
logical; if |
I0L0 returns besselI(nu=0)
minus struveL(nu=0).
Numeric vector with the (scaled, if expon.scaled = TRUE) values
of the corresponding function.
The length of the result is the maximum of the lengths of the
arguments x and nu.
The two arguments are recycled to that length.
Martin Schlather, schlather@math.uni-mannheim.de, http://ms.math.uni-mannheim.de
MacLeod, A.J. (1993) Chebyshev expansions for modified Struve and related functions, Mathematics of Computation, 60, 735-747
Abramowitz, M., and Stegun, I.A. (1984) Pocketbook of Mathematical Functions, Verlag Harry Deutsch
if (FALSE) {
x <- seq(1, 2, 0.1)
struveH(x, 0)
struveH(x, 1)
I0L0(x) - (besselI(x, nu=0) - struveL(x, 0))
besselI(x, nu=1) - struveL(x, 1) ## cf. Abramovitz & Stegun, table 12.1
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