  We derive explicit formulas for the normal ordering of powers of arbitrary
monomials of boson operators. These formulas lead to generalisations of
conventional Bell and Stirling numbers and to appropriate generalisations of
the Dobinski relations. These new combinatorial numbers are shown to be
coherent state matrix elements of powers of the monomials in question. It is
further demonstrated that such Bell-type numbers, when considered as power
moments, give rise to positive measures on the positive half-axis, which in
many cases can be written in terms of known functions.
