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A three-term recurrence formula for the generalized Bernoulli polynomials. (English) Zbl 1474.11060

Summary: In the present paper, we propose some new explicit formulas of the higher order Daehee polynomials in terms of the generalized \(r\)-Stirling and \(r\)-Whitney numbers of the second kind. As a consequence, we derive a three-term recurrence formula for the calculation of the generalized Bernoulli polynomials of order \(k\).

MSC:

11B68 Bernoulli and Euler numbers and polynomials
11B73 Bell and Stirling numbers

References:

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