the purpose of this historical review is to summarize the work of paul of aegina and especially his contribution to the treatment of spine disorders and trauma. a major review of the literature was undertaken with emphasis on the treatise of paul himself as well as those of later scholars and historians. paul expanded the horizons of surgery of his time, using his talent to perform very complic...

If 0 « (t)-)-s then, for any /3 > oc, Op (t)->-s. It is sufficient to assume that s = 0. By (3), since F(t) is increasing, op(t) <-a q « (t) and the required result follows immediately. t LEMMA 6. Let y(t) be an increasing function. If g(t) =10 y(u) du-sta as t-*0, then y(t)~sct a-1 The proof is similar to that of a result due to Hardy and Littlewood*, to which the lemma reduces when y(t) is a ...

Here we discuss two matrix characterizations of Riordan arrays, P -matrix characterization and A-matrix characterization. P -matrix is an extension of the Stieltjes matrix defined in [25] and the production matrix defined in [7]. By modifying the marked succession rule introduced in [18], a combinatorial interpretation of the P -matrix is given. The P -matrix characterizations of some subgroups...