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Results tagged with ca.classical-analysis-and-odes
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user 65
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
6
votes
Does the exponential function have a (compositional) square root?
Re: second question.
Yes, there are many of them on a half-line. Just take any smooth increasing function on $[0,1]$ with the property that $E(1)$ and $E'1(1)$ have desired values and extend it by t …
- 15.1k
2
votes
Rolle's theorem in n dimensions
I've never seen such an interesting analysis problem :) Here is my current state, which I post because I like this form in itself and because I hope somebody finishes it.
We can reformulate what we w …
- 15.1k
0
votes
Zeta-function regularization of determinants and traces
I don't have a specialized knowledge about regularizations, but as the first direction I think:
(1) yes, it's an identity if you look into definition of zeta-function (I thought of a different defini …
- 15.1k