Theta functions are tabulated in Jahnke and Emde (1945, p. 45). This reference gives
, , and their logarithmic -derivatives to
4D for , , where is
the modular angle given by
Spenceley and Spenceley (1947) tabulates
to 12D for , ,
where and is defined by
(20.15.1), together with the corresponding values of
Lawden (1989, pp. 270–279) tabulates ,
, to 5D for , , and
also to 5D for .
Tables of Neville’s theta functions ,
(see §20.1) and their logarithmic -derivatives are given in
Abramowitz and Stegun (1964, pp. 582–585) to 9D for , where (in radian measure)
is defined by (20.15.1).
For other tables prior to 1961 see Fletcher et al. (1962, pp. 508–514) and
Lebedev and Fedorova (1960, pp. 227–230).