Electrostatic Problems with a Rational Constraint and Degenerate Lame Equations
dc.contributor.author | Dimitrov, Dimitar K. [UNESP] | |
dc.contributor.author | Shapiro, Boris | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.contributor.institution | Stockholm Univ | |
dc.date.accessioned | 2020-12-10T19:57:18Z | |
dc.date.available | 2020-12-10T19:57:18Z | |
dc.date.issued | 2020-04-01 | |
dc.description.abstract | In this note we extend the classical relation between the equilibrium configurations of unit movable point charges in a plane electrostatic field created by these charges together with some fixed point charges and the polynomial solutions of a corresponding Lame differential equation. Namely, we find similar relation between the equilibrium configurations of unit movable charges subject to a certain type of rational or polynomial constraint and polynomial solutions of a corresponding degenerate Lame equation, see details below. In particular, the standard linear differential equations satisfied by the classical Hermite and Laguerre polynomials belong to this class. Besides these two classical cases, we present a number of other examples including some relativistic orthogonal polynomials and linear differential equations satisfied by those. | en |
dc.description.affiliation | Univ Estadual Paulista, Dept Matemat Aplicada, IBILCE, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil | |
dc.description.affiliation | Stockholm Univ, Dept Math, SE-10691 Stockholm, Sweden | |
dc.description.affiliationUnesp | Univ Estadual Paulista, Dept Matemat Aplicada, IBILCE, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil | |
dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
dc.description.sponsorshipId | FAPESP: 2016/09906-0 | |
dc.description.sponsorshipId | FAPESP: 2017/02061-8 | |
dc.description.sponsorshipId | CNPq: 306136/2017-1 | |
dc.format.extent | 645-659 | |
dc.identifier | http://dx.doi.org/10.1007/s11118-018-9754-y | |
dc.identifier.citation | Potential Analysis. Dordrecht: Springer, v. 52, n. 4, p. 645-659, 2020. | |
dc.identifier.doi | 10.1007/s11118-018-9754-y | |
dc.identifier.issn | 0926-2601 | |
dc.identifier.uri | http://hdl.handle.net/11449/196824 | |
dc.identifier.wos | WOS:000528380600005 | |
dc.language.iso | eng | |
dc.publisher | Springer | |
dc.relation.ispartof | Potential Analysis | |
dc.source | Web of Science | |
dc.subject | Electrostatic equilibrium | |
dc.subject | Lame differential equation | |
dc.title | Electrostatic Problems with a Rational Constraint and Degenerate Lame Equations | en |
dc.type | Artigo | |
dcterms.license | http://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0 | |
dcterms.rightsHolder | Springer | |
unesp.author.orcid | 0000-0002-3078-2336[1] | |
unesp.author.orcid | 0000-0002-8438-3971[2] |