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HALPHEN AND THE ELLIPTIC FUNCTIONS OF DU VAL
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- Journal:
- Bulletin of the Australian Mathematical Society , First View
- Published online by Cambridge University Press:
- 12 December 2025, pp. 1-13
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- Article
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We show that the ‘ternary’ elliptic functions that were introduced and studied by Du Val in 1964 are the
$n=3$ instances of n-ary elliptic functions that are defined for arbitrary integers n greater than unity. We also trace the general n-ary elliptic function back to 1886 and the ‘fort remarquable’ function of Halphen.
