Some inequalities for alternating Kurepa's function

In this paper we consider alternating Kurepa's function $A(z)$ \cite{Petojevic_02}. We give some recurrent relations for alternating Kurepa's function via appropriate sequences of rational functions and gamma function. Also we give some inequalities for the real part of alternating Kurepa's function $A(x)$ for values of argument $x>-2$. The obtained results are analogous to results from \cite{Malesevc_04}.