Note on the Euler Numbers and Polynomials

Abstract

In this paper we investigate the properties of the Euler functions. By using the Fourier transform for the Euler function, we derive the interesting formula related to the infinite series. Finally we give some interesting identities between the Euler numbers and the second kind stirling numbers.

7 pages

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Cited by in corpus (6)

• Interpolation function of the genocchi type polynomials
• Note on on Dedekind type DC sums
• Some new identities on the twisted (h, q)- Euler numbers and q-Bernstein polynomials
• Some identities on Bernstein polynomials associated with q-Euler polynomials
• The Frobenius-Euler function and its applications
• Some properties on the integral of the product of several Euler polynomials