Can you please help with the following. I would like to compute the sign of an expression:
Sign[Sqrt σ + E^((p - v0)^2/(2 σ^2)) Sqrt[π] (p - v0) Erfc[(-p + v0)/(Sqrt σ)]]
All 3 variables p, v0 and sigma are positive. Is there a way in which I can actually evaluate this expression?
I have deduced that for p higher or equal to v0 this expression is positive.
How can I check the sign of this expression when p is smaller than v0? For instance, assuming p goes to zero and sigma is 5 times smaller than v0?
Thanks a lot for your support, highly appreciated.