Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials
✍ Scribed by Luo, Qiu-Ming
- Book ID
- 126468656
- Publisher
- American Mathematical Society
- Year
- 2009
- Tongue
- English
- Weight
- 256 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0025-5718
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📜 SIMILAR VOLUMES
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
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