Two Catalan-type Riordan Arrays and their
Connections to the Chebyshev Polynomials of
the First Kind
Asamoah Nkwanta and Earl R. Barnes
Department of Mathematics
Morgan State University
Baltimore, MD 21251
Riordan matrix methods and properties of generating functions are used to
prove that the entries of two Catalan-type Riordan arrays are linked to the
Chebyshev polynomials of the first kind. The connections are that the rows
of the arrays are used to expand the monomials
(1/2)(4x)n in terms of
certain Chebyshev polynomials of degree n.
In addition, we find new
integral representations of the central binomial coefficients and Catalan
Full version: pdf,
(Concerned with sequence
Received December 8 2011;
revised version received February 6 2012.
Published in Journal of Integer Sequences, March 11 2012.
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