Mixed-type hypergeometric Bernoulli-Gegenbauer Polynomials

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dc.contributor.authorDionicio Peralta
dc.date.accessioned2025-10-24T15:40:05Z
dc.date.available2025-10-24T15:40:05Z
dc.date.issued2023
dc.description.abstractIn 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.citationPeralta, D. (2023). Mixed-type hypergeometric Bernoulli-Gegenbauer Polynomials. ΣMathematics, 11(18), 3920.
dc.identifier.urihttps://repositoriovip.uasd.edu.do/handle/123456789/1343
dc.language.isoen
dc.relation.ispartofseries2024; 10
dc.titleMixed-type hypergeometric Bernoulli-Gegenbauer Polynomials
dc.typeArticle
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