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Results tagged with ca.classical-analysis-and-odes
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user 156054
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
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Does the exponential function have a (compositional) square root?
Assume that this half-exponential function $h(x)$ is of the form $a+bx+cx^2$, or a quadratic function. Attempting to expand out $h(h(x))$ gives us the following:
$$h(h(x)) = a+ab+b^{2}x+bcx^{2}+a^{2} …
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