Can we have $$K_{2it}(x)\sinh(t)\ll_{x} 1$$ for $1<x< (1+|t|)^3,$ where $K_{2it}(x)$ deotes the ordinary K-bessel function and $t>1$. This is true when $x\ge (1+|t|)^3$ from some references. Much obliged, if you can show me something or revelant literature.
2026-03-25 11:31:40.1774438300
a question on upper bound for Bessel function $K_{2it}(x)$
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