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Results tagged with ca.classical-analysis-and-odes
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user 73755
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
10
votes
Interesting triple integral
We shall denote the integral with the letter $I$, i.e. :
$$I:=\int_0^\infty \frac{\mathrm{d}x}{x} \int_0^x \frac{\mathrm{d}y}{y} \int_0^y \frac{\mathrm{d}z}{z} [\sin{x}+\sin{(x-y)}-\sin{(x-z)}-\sin{( …
- 231
3
votes
Action Integral
I would suggest the most elementary way I can imagine to compute this integral in this case is transforming the given via substitution : $ \frac{r-a}{b-r} = t^2$ , assuming $ b>a $ are both real. The …
- 231