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Some results on the Apostol–Bernoulli and Apostol–Euler polynomials

✍ Scribed by Weiping Wang; Cangzhi Jia; Tianming Wang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
270 KB
Volume
55
Category
Article
ISSN
0898-1221

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✦ Synopsis

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 these two relationships. Moreover, we have a study on the sums of products of the Apostol-Bernoulli polynomials and of the Apostol-Euler polynomials.

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