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Results tagged with ca.classical-analysis-and-odes
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user 11102
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
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 …
- 93
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 …
- 93