Fourier series coefficients for powers of the Jacobian elliptic functions

Kiper, Ayşe

doi:10.1090/S0025-5718-1984-0744934-6

Fourier series coefficients for powers of the Jacobian elliptic functions
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Math. Comp. 43 (1984), 247-259 Request permission

Abstract:

The Fourier series expansion coefficients for the Jacobian elliptic functions ${\text {sn}^m}(u,k)$, ${\text {cn}^m}(u,k)$ and ${\text {dn}^m}(u,k)$, with $m \geqslant 1$, are studied. Two-term recurrence formulae are obtained and some of the coefficients are tabulated.

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