For other θ functions, see Theta function (disambiguation).
In mathematics, the Neville theta functions, named after Eric Harold Neville,[1] are defined as follows:[2][3][4]
where: K(m) is the complete elliptic integral of the first kind, , and is the elliptic nome.
Note that the functions θp(z,m) are sometimes defined in terms of the nome q(m) and written θp(z,q) (e.g. NIST[5]). The functions may also be written in terms of the τ parameter θp(z|τ) where .
^Abramowitz and Stegun, pp. 578-579
^Neville (1944)
^The Mathematical Functions Site
^The Mathematical Functions Site
^Cite error: The named reference DLMF20 was invoked but never defined (see the help page).
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