Mixed-type hypergeometric Bernoulli-Gegenbauer polynomials
Mixed-type hypergeometric Bernoulli-Gegenbauer polynomials
| dc.contributor.author | Dionicio Peralta | |
| dc.date.accessioned | 2024-08-08T15:31:53Z | |
| dc.date.available | 2024-08-08T15:31:53Z | |
| dc.date.issued | 2023-09-15 | |
| dc.description.abstract | In this paper, we consider a novel family of the mixed-type hypergeometric Bernoulli– Gegenbauer polynomials. This family represents a fascinating fusion between two distinct categories of special functions: hypergeometric Bernoulli polynomials and Gegenbauer polynomials. We focus our attention on some algebraic and differential properties of this class of polynomials, including its explicit expressions, derivative formulas, matrix representations, matrix-inversion formulas, and other relations connecting it with the hypergeometric Bernoulli polynomials. Furthermore, we show that unlike the hypergeometric Bernoulli polynomials and Gegenbauer polynomials, the mixed-type hypergeometric Bernoulli– Gegenbauer polynomials do not fulfill either Hanh or Appell conditions. | |
| dc.identifier.citation | Peralta, D., Quintana, Y., & Wani, S. A. (2023). Mixed-type hypergeometric Bernoulli–Gegenbauer polynomials. Mathematics, 11(3920). | |
| dc.identifier.uri | https://repositoriovip.uasd.edu.do/handle/123456789/236 | |
| dc.title | Mixed-type hypergeometric Bernoulli-Gegenbauer polynomials |
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