Formulae are derived for the generating functions of Yk, of Yj+k-Yj and of Yj+k-Yj in the limit as j→∞, for both discrete-time and continuous-time chains. Several particular cases are briefly ...

Description: The course covers mathematics useful in analyzing computer algorithms. Topics include recurrence relations, evaluation of sums, integer functions, elementary number theory, binomial ...

The paper contains a simple, direct derivation of the generating functions for a class of permutations generalizing the up-down permutations. This monthly journal, begun in 1950, is devoted entirely ...