Note on the Euler Numbers and Polynomials

By Taekyun Kim. 2008

87 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/4c6e5f799bcceaa5380b5e40a1e03ee49d4f8377

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In Algebra and Number Theory

1. Yilmaz Simsek
2. Taekyun Kim
3. Veli Kurt
4. Hari M. Srivastava
5. Daeyeoul Kim

In Discrete Mathematics and Combinatorics

1. Yilmaz Simsek
2. Taekyun Kim

Citations in the corpus

• Special functions related to Dedekind-type DC-sums and their applications (2009, methodology): “In [32] and [31], by using Fourier transform for the Euler function, Kim derived some formulae related to infinite series and the first kind Euler numbers.”