I am trying to evaluate the ratio $\frac{H_m'^{(1)}(z)}{H_m^{(1)}(z)}, m\in N$. $'$ indicates derivative with respect to $z$. For large $m$, each term in the numerator or denominator can overflow numerically. Is there a convenient way to express the ratio into something manageable? Thanks.
2026-04-09 16:57:26.1775753846
Ratio of Hankel functions
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