Applications of Riordan matrix functions to Bernoulli and Euler polynomials

Research output: Journal ArticleArticlepeer-review

Abstract

We dene Riordan matrix functions associated with Riordan arrays and study their algebraic properties. We also give their applications in the construction of new classes of Bernoulli and Euler polynomials and Bernoulli and Euler numbers, referred to as the duals and conjugate Bernoulli and Euler polynomials and dual and conjugate Bernoulli
and Euler numbers, respectively.
Original languageAmerican English
JournalLinear Algebra and Its Applications
Volume507
StatePublished - 2016

Keywords

  • Riordan array
  • Riordan group
  • Pascal matrix
  • Bernoulli polynomials and numbers
  • Euler polynomials and numbers
  • conjugate Bernoulli and Euler polynomials

Disciplines

  • Applied Mathematics
  • Mathematics

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