Recurrence formulae for Apostol-Bernoulli and Apostol-Euler polynomials

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作者
Yuan He
Chunping Wang
机构
[1] Kunming University of Science and Technology,Faculty of Science
关键词
Apostol-Bernoulli polynomials and numbers; Apostol-Euler polynomials and numbers; recurrence formula;
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摘要
In this paper, using generating functions and combinatorial techniques, we extend Agoh and Dilcher’s quadratic recurrence formula for Bernoulli numbers in (Agoh and Dilcher in J. Number Theory 124:105-122, 2007) to Apostol-Bernoulli and Apostol-Euler polynomials and numbers.
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