On a Transformation of Riordan Moment Sequences
School of Science
Waterford Institute of Technology
We define a transformation that associates certain exponential moment
sequences with ordinary moment sequences in a natural way. The
ingredients of this transformation are series reversion, the Sumudu
transform (a variant of the Laplace transform), and the inverting of
generating functions. This transformation also has a simple interpretation
in terms of continued fractions. It associates lattice
path objects with permutation objects, and in particular it associates
the Narayana triangle with the Eulerian triangle.
Full version: pdf,
(Concerned with sequences
Received February 9 2018; revised versions received July 10 2018; July 16 2018.
Published in Journal of Integer Sequences, August 23 2018.
Journal of Integer Sequences home page