We prove a general symmetric identity involving the degenerate Bernoulli polynomials and sums of generalized falling factorials, which unifies several known identities for Bernoulli and degenerate Bernoulli numbers and polynomials. We use this identity to describe some combinatorial relations betwee
Some properties of Bernoulli polynomials and their generalizations
✍ Scribed by Da-Qian Lu
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 220 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
In this work, we investigate some well-known and new properties of the Bernoulli polynomials and their generalizations by using quasi-monomial, lowering operator and operational methods. Some of these general results can indeed be suitably specialized in order to deduce the corresponding properties and relationships involving the (generalized) Bernoulli polynomials.
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