We present a number of new solutions to an integral equation arising in the limiting theory of Bellman-Harris processes. The argument proceeds via straightforward analysis of Mellin transforms. We also derive a criterion for the analyticity of the Laplace transform of the limiting distribution on Re(u) ≥ -c for some c > 0.
"New limiting distributions for Bellman-Harris processes." J. Appl. Probab. 48 (2) 313 - 321, June 2011. https://doi.org/10.1239/jap/1308662629