In mathematics, the Legendre chi function is defined as

The discrete fourier transform of the Legendre chi function with respect to the order n is the Hurwitz zeta function (Cvijovic).

The Legendre chi function is a special case of the Lerch Transcendent, and is given by

.

References

• Djurdje Cvijovic and Jacek Klinowski. Math. Comp. 68 (1999), 1623-1630, 1999. (abstract)