Mixed-type hypergeometric Bernoulli-Gegenbauer polynomials: some properties

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dc.contributor.authorDionisio Peralta
dc.date.accessioned2025-09-01T19:34:26Z
dc.date.available2025-09-01T19:34:26Z
dc.date.issued2024-11-06
dc.descriptionPublicado por la revista: "Communications in Applied and Industrial Mathematics, 2024, vol. 15, no. 1, Sciendo, pp. 123-136."
dc.description.abstractWe consider the 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 collect some recent results concerning algebraic and differential properties of this class of polynomials and use some them to deduce an ordinary differential equation satisfied by these polynomials. Some numerical illustrative examples about the behavior of the zeros of these polynomials are given.
dc.identifier.citationPeralta, D. (2024). Mixed-type hypergeometric Bernoulli-Gegenbauer polynomials: some properties. Communications in Applied and Industrial Mathematics, 15(1), 123–136.
dc.identifier.urihttps://repositoriovip.uasd.edu.do/handle/123456789/1022
dc.language.isoen
dc.relation.ispartofseries2025; 01
dc.titleMixed-type hypergeometric Bernoulli-Gegenbauer polynomials: some properties
dc.typeArticle
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