Exponential Riordan arrays and Jacobi elliptic functions

Arnauld Mesinga Mwafise, Paul Barry

Research output: Contribution to journalArticlepeer-review

Abstract

This paper establishes relationships between elliptic functions and Riordan arrays leading to new classes of Riordan arrays which here are called elliptic Riordan arrays. In particular, the case of Riordan arrays derived from Jacobi elliptic functions that are parameterized by the elliptic modulus k will be treated here. Some concrete examples of such Riordan arrays are presented via a recursive formula.

Original languageEnglish
JournalLinear and Multilinear Algebra
DOIs
Publication statusAccepted/In press - 2021

Keywords

  • elliptic functions
  • generating functions
  • Riordan matrix

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