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Results tagged with ca.classical-analysis-and-odes
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user 470867
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
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votes
$\int_L^\infty \exp(- t - y/t) \, dt = \text{?}$
For L=0:
$\int_{0}^{\infty}\exp(-t-y/t)dt=\fbox{$2\sqrt{y}K_1\left(2\sqrt{y}\right)\text{if}\Re(y)>0$}$
$K_{1}$ is the modified Bessel function of the second kind!
There is no closed form for $L>0$ wh …
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