Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials
✍ Scribed by Mehmet Ali Özarslan
- Book ID
- 120735873
- Publisher
- Springer International Publishing AG
- Year
- 2013
- Tongue
- English
- Weight
- 198 KB
- Volume
- 2013
- Category
- Article
- ISSN
- 1687-1839
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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