Papers
Certain Combinatoric convolution sums and their relations to Bernoulli and Euler Polynomials
- Research Fields수리모델연구부
- AuthorKim,Daeyeoul, A. Bayad, Nazli Yildiz Ikikardes
- Journaljournal of Korean Mathematical Society 52,537-565 (2015
- Classification of papersSCIE
In this paper, we give relationship between Bernoulli-Euler polynomials and convolution sums of divisor functions. First, we establish two explicit formulas for certain combinatoric convolution sums of divisor functions derived from Bernoulli and Euler polynomials. Second, as applications, we show five identities concerning the third and fourth-order convolution sums of divisor functions expressed by their divisor functions and linear combination of Bernoulli or Euler polynomials.
In this paper, we give relationship between Bernoulli-Euler polynomials and convolution sums of divisor functions. First, we establish two explicit formulas for certain combinatoric convolution sums of divisor functions derived from Bernoulli and Euler polynomials. Second, as applications, we show five identities concerning the third and fourth-order convolution sums of divisor functions expressed by their divisor functions and linear combination of Bernoulli or Euler polynomials.