In a recent paper which appeared in this journal, Cheon [1] rederived several known properties and relationships involving the classical Bernoulli and Euler polynomials. The object of the present sequel to Cheon's work [1] is to show (among other things) that the main relationship (proven in [1]) ca
A note on the Bernoulli and Euler polynomials
✍ Scribed by Gi-Sang Cheon
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 150 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
In this paper, we obtain a simple property of the Bernoulli polynomials Bn(x) and the Euler polynomials Er~(X). As a consequence, the relationship between two polynomials is obtained from n k=0 ,~1
📜 SIMILAR VOLUMES
The main object of this paper is to investigate the Apostol-Bernoulli polynomials and the Apostol-Euler polynomials. We first establish two relationships between the generalized Apostol-Bernoulli and Apostol-Euler polynomials. It can be found that many results obtained before are special cases of th
Using the Padé approximation of the exponential function, we obtain recurrence relations between Apostol-Bernoulli and between Apostol-Euler polynomials. As applications, we derive some new lacunary recurrence relations for Bernoulli and Euler polynomials with gap of length 4 and lacunary relations