On $q$-hypergeometric Bernoulli polynomials and numbers
| Autor: | S. Mboutngam, Patrick Njionou Sadjang |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
Pure mathematics Matematik Algebra and Number Theory Recurrence relation Hypergeometric distribution Bernoulli polynomials symbols.namesake $q$-Bernoulli polynomials $q$-Bernoulli numbers $q$-hypergeometric Bernoulli polynomials recurrence relation $q$-difference equation symbols Geometry and Topology Analysis Mathematics |
| Zdroj: | Volume: 50, Issue: 5 1251-1267 Hacettepe Journal of Mathematics and Statistics |
| ISSN: | 2651-477X |
| Popis: | We introduce $q$-analogues of the hypergeometric Bernoulli polynomials in one and two real parameters and study several of their properties. Also we provide the inversion, the power representation, the multiplication and the addition formula for these polynomials. Classical results are recovered by limit transition. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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