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Asymptotic behavior of functions, asymptotic series and related topics

3 votes
0 answers
351 views

Quotient of two Laplace integrals (2)

In one attempt to prove a probability theorem (of K.L. Chung and P. Erdős, 1951) using analytic argument, I try to prove the following Let $\varphi(x)$ and $\psi(x)$ be two complex-valued continuous …
LI Yutian 's user avatar
6 votes
1 answer
843 views

Quotient of two Laplace integrals

Let $\varphi(x)$ and $\psi(x)$ be two complex-valued continuous functions on $[a,b]$, and let $f(x)$ be a complex-valued continuously differentiable function on $[a,b]$. Suppose that $|f(x)|$ has an a …
LI Yutian 's user avatar