[Help-gsl] Kummer's confluent hypergeometric for complex argument

[Jorge Fernandez de Cossio Diaz]

Hello all,

I need to evaluate Kummer's confluent hypergeometric function for a purely 
imaginary argument:

1F1(a, b; ix)

where i is the imaginary unit, a, b, x are real, and a, b > 0. From what I 
gather GSL only allows computing

1F1(a,b; x)

with real arguments. However there is a version of 2F1 that admits complex 
arguments. Is there a reason for this omission? Any suggestions on how I can 
compute 1F1(a, b; ix)?

Thanks in advance. Best,

cossio
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