Differential Properties of Jacobi –Sobolev Polynomials and electrostatic Interpretation

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dc.contributor.authorJuan Toribio Milane
dc.date.accessioned2025-11-03T19:29:53Z
dc.date.available2025-11-03T19:29:53Z
dc.date.issued2023/08/05
dc.description.abstractA connection formula that relates the Sobolev polynomials 𝑆𝑛 with the Jacobi polynomials is provided, as well as the ladder differential operators for the sequence {𝑆𝑛}𝑛⩾0 and a second-order differential equation with a polynomial coefficient that they satisfied. We give sufficient conditions under which the zeros of a wide class of Jacobi-Sobolev polynomials can be interpreted as the solution of an electrostatic equilibrium problem of n unit charges moving in the presence of a logarithmic potential. Several examples are presented to illustrate this interpretation.
dc.identifier.citationMilane, J. T. (2023). Differential Properties of Jacobi–Sobolev Polynomials and electrostatic Interpretation. Mathematics, 11(15), 3420.
dc.identifier.urihttps://repositoriovip.uasd.edu.do/handle/123456789/1371
dc.language.isoen
dc.relation.ispartofseries2023; 31
dc.titleDifferential Properties of Jacobi –Sobolev Polynomials and electrostatic Interpretation
dc.typeArticle
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