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Dec 3, 2012 at 0:37 comment added Gabriel Mitchell Thanks for pointing this out. I have fixed the misprints and expanded on the connection between the problem statement and my application. I seem to have run into a length restriction at the end of the edit, so I will comment here. In the case where $A(y) = (1+-p+py)^{N-1}$ the variance (and higher order cumulants) no longer vanish for general $p$. The equation I obtained allows for recursive computation of $X^(m)(0)$, but this is somewhat unwieldy, which motivates my interest in the Lagrange inversion analog.
Dec 3, 2012 at 0:28 history edited Gabriel Mitchell CC BY-SA 3.0
Grammar corrections, refactoring and expansion of postscript.; deleted 127 characters in body
Dec 1, 2012 at 15:01 comment added Alexandre Eremenko The question seems interesting, but could you please read it carefully and correct the misprints in the formulas ? It is incomprehensible. (What is $t$ in the first equation? "Polynomials in the derivatives of $u$ should be "polynomials in the derivatives of $w$" ? And so on.
Dec 1, 2012 at 6:57 comment added Max Alekseyev Just to double check: there is no $t$ in your implicit equation - is it correct?
Dec 1, 2012 at 0:21 history asked Gabriel Mitchell CC BY-SA 3.0