A note on three families of orthogonal polynomials defined by circular functions, and their moment sequences

Barry, Paul (2012) A note on three families of orthogonal polynomials defined by circular functions, and their moment sequences. Journal of Integer Sequences, 15 (7). ISSN 1530-7638

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Abstract

Using the language of exponential Riordan arrays, we study three distinct families of orthogonal polynomials defined by trigonometric functions. We study the moment sequences of theses families, finding continued fraction expressions for their generating functions, and calculate the Hankel transforms of these moment sequences. Results related to the Euler or zigzag numbers, as well as the generalized Euler or Springer numbers, are found. In addition, we characterize the Dowling numbers as moments of a family of orthogonal polynomials.

Item Type:	Article
Uncontrolled Keywords:	/dk/atira/pure/subjectarea/asjc/2600/2607
Departments or Groups:
Depositing User:	Admin SSL
Date Deposited:	19 Oct 2022 23:02
Last Modified:	08 Feb 2023 00:01
URI:	http://repository-testing.wit.ie/id/eprint/3696

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