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Results tagged with exponential-polynomials
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user 11260
2
votes
Express as Meijer-G function
start from the identity
$$G^{2,0}_{0,2}(z,\tfrac{1}{2}|b,c)=2z^{b+c}K_{c-b}(2z),$$
substitute $b=0$ and $c=1/2$,
$$G^{2,0}_{0,2}(z,\tfrac{1}{2}|0,\tfrac{1}{2})=2z^{1/2}K_{1/2}(2z)=\sqrt{\pi}e^{-2z},$$ …
- 188k
4
votes
Accepted
What is exponentially fitted osculating straight line?
it's jargon for a function of the form
$$y(x)=e^{a(x-x_0)}[b(x-x_0)+c]$$
where the constants $a,b,c$ are determined such that $y(x)$ osculates the function $f(x)$ you are fitting to at $x=x_0$:
$$y(x …
- 188k