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Results tagged with ca.classical-analysis-and-odes
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user 21615
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
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a^b = b^a when a is not equal to b.
To find rational solutions to $a^b=b^a$
let $t=b/a \longrightarrow a^{at}=(at)^a \longrightarrow a^t=at \longrightarrow a^{t-1}=t \longrightarrow a=t^{1/(t-1)}$
We want $n=1/(t-1) \in\mathbb{Z}$ to …
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