Jacobi zeta function

In mathematics, the Jacobi zeta function Z(u) is the logarithmic derivative of the Jacobi theta function

Θ(u) = θ₄(πu/2K).

References

• Abramowitz, Milton; Stegun, Irene A., eds. (1965), "Chapter 16", Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, New York: Dover, p. 578, ISBN 978-0486612720, MR 0167642 .