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https://doi.org/10.1007/bf03321746
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Cite Publication Date: Mar 23, 2009 | |
 Citations: 3 |
Affiliation: Cheltenham Festivals
We investigate the distribution of the zeros of the twelve Jacobian elliptic functions sn(z, k), etc. as functions of k for fixed z. We show that the number of zeros inside a disc given by ¦k¦ ≤ r is approximately of order r2 and hence that the mapping k ↦ sn(z, k) is of order 2.
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