I would like to study the large $t\gg 1$ behavior of this integral in the complex plane $$ \oint_{|w|=1} dw\frac{(1+w)^{\eta t}}{w^{t+3/2}}I_1(2t\sqrt{w}) $$ for $\eta>1$
2026-03-28 01:26:06.1774661166
Asymptotic integral with bessel function
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