Article
Applications of Riordan matrix functions to Bernoulli and Euler polynomials
Linear Algebra and Its Applications
(2016)
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.
Keywords
- Riordan array,
- Riordan group,
- Pascal matrix,
- Bernoulli polynomials and numbers,
- Euler polynomials and numbers,
- conjugate Bernoulli and Euler polynomials
Disciplines
Publication Date
2016
Publisher Statement
Linear Algebra and Its Applications is published by Elsevier. For more information please see the Linear Algebra and Its Applications homepage.
Citation Information
Tian-Xiao He. "Applications of Riordan matrix functions to Bernoulli and Euler polynomials" Linear Algebra and Its Applications Vol. 507 (2016) p. 208 - 228 ISSN: 0024-3795 Available at: http://works.bepress.com/tian_xiao_he/78/