The Pascal Matrix Function and Its Applications to Bernoulli Numbers and Bernoulli Polynomials and Euler Numbers and Euler PolynomialsScience China Mathematics (15)
A Pascal matrix function is introduced by Call and Velleman in . 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.
- Pascal matrix,
- Pascal matrix func- tion,
- Bernoulli number,
- Bernoulli polynomial,
- Euler number,
- Euler polynomial.
Citation InformationTian-Xiao He, Jeff H.C. Liao and Peter J.-S. Shiue. "The Pascal Matrix Function and Its Applications to Bernoulli Numbers and Bernoulli Polynomials and Euler Numbers and Euler Polynomials" Science China Mathematics Vol. 45 Iss. 9 (15) p. 1563 - 1572
Available at: http://works.bepress.com/tian_xiao_he/72/