Q: what is the name of that density function?

I already tried sci.math, but may be this is the proper NG:

With appropriate parameters and up to norming let be f:= x ->
exp(-c*x-beta)*(1/2*exp(a*x+alpha)+1/2*exp(-a*x-alpha))^(-b)
for x arbitrary real.

Is there name for that ( and references (on the www ...) ) ?

I would be glad to get some hints ...
.