Some Identities for Euler and Bernoulli Polynomials and Their Zeros

Abstract

In this paper, we study some special polynomials which are related to Euler and Bernoulli polynomials. In addition, we give some identities for these polynomials. Finally, we investigate the zeros of these polynomials by using the computer.

Keywords

• Appell sequence
• Appell numbers and polynomials
• Bernoulli and Euler polynomials
• cosine–Bernoulli and cosine–Euler polynomials
• sine–Bernoulli and sine–Euler polynomials