Abstract
A Pascal matrix function is introduced by Call and Velleman in [3]. In this paper, we will use the function to give a unied approach in the study of Bernoulli numbers and Bernoulli polynomials. Many well-known and new properties of the Bernoulli numbers and polynomials can be established by using the Pascal matrix function. The approach is also applied to the study of Euler numbers and Euler polynomials.
Original language | American English |
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Journal | Science China Mathematics |
Volume | 45 |
State | Published - 2015 |
Keywords
- Bernoulli number
- Bernoulli polynomial
- Euler number
- Euler polynomial.
- Pascal matrix
- Pascal matrix func- tion
Disciplines
- Physical Sciences and Mathematics
- Applied Mathematics