On the continued Erlang loss function
Results: 1) The continuation \(B(x,a)=\{a\int^{\infty}_{0}e^{- at}(1+t)^ xdt\},\) \(a>0\), \(x\geq 0\), of the Erlang loss function is convex. 2) For given mean \(\mu\geq 0\) and peakedness factor \(\zeta\geq 1\) there exist exactly one pair (a,x), \(a>0\), \(x\geq 0\), such that the continuations of the mean function m(x,a) and the peakedness function z(x,a) of the overflow process of the associated Erlang system coincide with \(\mu\) and \(\zeta\).
scientific article; zbMATH DE number 3958401
scientific article