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[Help-gsl] Hurwitz zeta function: code: precision

From: Jerome BENOIT
Subject: [Help-gsl] Hurwitz zeta function: code: precision
Date: Sat, 16 Dec 2017 10:25:43 +0400
User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:52.0) Gecko/20100101 Thunderbird/52.5.0

Hello !

In view to computer derivatives of the Hurwitz zeta function
I am attempting to understand the code implemented in specfunc/zeta.c
for computing $\zeta(s,a)$ for $s>1$ and $a>0$.
I can reproduce the involved mathematics (see [1]).

My concern is the choice for the parameters kmax and jmax.
I guess that once kmax is chosen, jamx can be easily deduced;
so the issue reduces to the choice of kmax.
I have noticed that kmax is not involved in the err computation:
is it a bug or related to the choice kmax=10 (and why) ?

Any hint is welcome.

Thanks in advance,

NB: the citation ``Moshier, p 400'' is a little short (and hard to find both 
with Google and in libraries)


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