Recent content by msenay

Yes, i know. Also, x=0 is problem. When i look limit at x=0, there is an divergent. I don't know how i can solve this integral. Thanks for best comment.

(23) and (24) equations have same form with mine, but not equal. I tried to solve power of polynomial x. But, there is some problem. We think that my integral has two part like from -infinity to zero and from zero to infinity. Equations (23) and (24) have same form mine, but not equal. I...

you should do some thing that these deforme Fermi-Dirac integral reduce to standard Fermi-Dirac integral. I didnt mention here. You can examine this article: http://www.sciencedirect.com/science/article/pii/S0378437114003124?np=y. This is only one example. I know how these deforme integral can...

thansk for comment dear Samy_A. This kind of integral is called deformed Fermi-Dirac integral. if we can think limit q→1, these integral go to standard Fermi-Dirac integral. Also, you can find these kind of integral in many statistical physics books like Kerson Huang and R.K.Patriha. So, we can...

Homework Statement I need to solve this integral, $$\int _{-\infty }^{\infty }x\left( \dfrac {1} {1-e^{-x}}+\dfrac {1} {1+qe^{-x}}\right) dx$$ My advisor said its solution will be zero. But i haven't improved it yet. There is important case. This integral is divergent at x=0. So, i should...