Consider the function $f(z) = \dfrac{z}{\sin\pi z^{2}}$. It has a simple pole at $z=0$. There are also 4 poles at $z=\pm\sqrt{n}$ and $z=\pm i\sqrt{n}$, where $n\in Z^{+}$. What is the order of the pole?
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It also belongs to Mathematical Physics(Complex Analysis). – Bapi Basak May 12 '22 at 14:30
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2Complex analysis without physics context? Mathematicians not good enough for it? – Cosmas Zachos May 12 '22 at 14:52