hypergeo_contfrac {hypergeo} | R Documentation |
Continued fraction expansion of the hypergeometric and generalized hypergeometric functions using continued fraction expansion.
hypergeo_contfrac(A, B, C, z, tol = 0, maxiter = 2000) genhypergeo_contfrac_single(U, L, z, tol = 0, maxiter = 2000)
A,B,C |
Parameters (real) |
U,L |
In function genhypergeo_contfrac() , upper and lower
arguments as in genhypergeo() |
z |
Complex argument |
tol |
tolerance (passed to GCF() ) |
maxiter |
maximum number of iterations |
These functions are included in the package in the interests of completeness, but it is not clear when it is advantageous to use continued fraction form rather than the series form.
The function sometimes fails to converge to the correct value but no warning is given.
Function genhypergeo_contfrac()
is documented under
genhypergeo.Rd
.
Robin K. S. Hankin
hypergeo_contfrac(0.3 , 0.6 , 3.3 , 0.1+0.3i) # Compare Maple: 1.0042808294775511972+0.17044041575976110947e-1i genhypergeo_contfrac_single(U=0.2 , L=c(9.9,2.7,8.7) , z=1+10i) # (powerseries does not converge) # Compare Maple: 1.0007289707983569879 + 0.86250714217251837317e-2i