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 language | American English |
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Journal | Linear Algebra and Its Applications |
Volume | 507 |
State | Published - 2016 |
Keywords
- Bernoulli polynomials and numbers
- Euler polynomials and numbers
- Pascal matrix
- Riordan array
- Riordan group
- conjugate Bernoulli and Euler polynomials
Disciplines
- Applied Mathematics
- Mathematics