Recent content by Herick

  1. H

    Integrating normal from 0 to Inf and finding the third moment

    Well, is it e^x a closed form? If by closed form he means a convergent infinite series, then Err(x) is also 'closed form'. Right?
  2. H

    Solving Cauchy Residual Theorem for Holomorphic Function at z=2i

    This is $$\frac{\sin (3)}{4 e^2}$$ Let me know if this is the answer. I can explain how i got it.
  3. H

    Integrating normal from 0 to Inf and finding the third moment

    But the Error function is analytic! It is an entire function.
  4. H

    Solving Difficult Expectation with Normal Distribution

    Dear Hejdun This is kind of a guess solution by using residue methods (integration in the complex plane). I am not sure about how to select the right contour. First, I transformed your initial integral to a form with a rational expression inside. The resulting integrand has a 'pole' of order...
  5. H

    Solving Difficult Expectation with Normal Distribution

    Just wondering, did you get a result near $$ \frac { \sqrt { 2 } { e }^{ \frac { { \pi }^{ 2 } }{ 2\quad { \sigma }^{ 2 } } }\pi \left( { \pi }^{ 2 }+2{ \sigma }^{ 2 } \right) { \pi }^{ 2 } }{ { \left( { \sigma }^{ 2 }\pi \right) }^{ \frac { 3 }{ 2 } } } $$?
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    Solving Difficult Expectation with Normal Distribution

    Hello Hejdun: Just by curiosity, this inquiry follows from a model that you are working with? What is the interpretation of the x^2*exp(x)/(1+exp(x))^2?
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