Some properties of Bernoulli polynomials and their generalizations
| Autor: | Da-qian Lu |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
Discrete mathematics
Pure mathematics Recursion formulas Apostol–Bernoulli polynomials and numbers Applied Mathematics Discrete orthogonal polynomials Quasi-monomial Connection problems Bernoulli polynomials and numbers Bernoulli polynomials Generating functions Classical orthogonal polynomials symbols.namesake Wilson polynomials Multiplication theorem Orthogonal polynomials symbols Bernoulli scheme Bernoulli process Mathematics |
| Zdroj: | Applied Mathematics Letters. 24:746-751 |
| ISSN: | 0893-9659 |
| DOI: | 10.1016/j.aml.2010.12.021 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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