Title: The Production Matrix of a Riordan Array
Abstract: Formally, a Riordan
array is defined as an infinite, lower triangular
array determined by pair of formal power series
where, and, with generic element. However, Riordan
arrays can also be characterized by the triple where
is the -sequence that gives the th column of the
array and is the -sequence which constructs the rows
of the array.
talk we explore the relationship between the formal
power series and of a Riordan array and it is - and
- sequences and their simultaneous relationship to
the production matrix of that Riordan array.