Connection coefficients and zeros of orthogonal polynomials
| العنوان: | Connection coefficients and zeros of orthogonal polynomials |
|---|---|
| المؤلفون: | Dimitar K. Dimitrov |
| المساهمون: | Universidade Estadual Paulista (Unesp) |
| المصدر: | Web of Science Repositório Institucional da UNESP Universidade Estadual Paulista (UNESP) instacron:UNESP |
| بيانات النشر: | Elsevier B.V., 2001. |
| سنة النشر: | 2001 |
| مصطلحات موضوعية: | Recurrence relation, Descartes' rule of signs, Inequalities for zeros, Wronskian, Applied Mathematics, Mathematical analysis, Zero (complex analysis), connection coefficients, inequalities for zeros, Connection coefficients, Classical orthogonal polynomials, Combinatorics, Computational Mathematics, symbols.namesake, Wronskians, Orthogonal polynomials, zeros of orthogonal polynomials, symbols, Jacobi polynomials, Descartes’ rule of signs, Connection (algebraic framework), Zeros of orthogonal polynomials, Mathematics |
| الوصف: | Submitted by Guilherme Lemeszenski (guilherme@nead.unesp.br) on 2014-02-26T17:12:02Z No. of bitstreams: 1 WOS000170613700027.pdf: 109098 bytes, checksum: bae82a7a9c18ecd9f031298d389208e1 (MD5) Made available in DSpace on 2014-02-26T17:12:02Z (GMT). No. of bitstreams: 1 WOS000170613700027.pdf: 109098 bytes, checksum: bae82a7a9c18ecd9f031298d389208e1 (MD5) Previous issue date: 2001-08-01 Submitted by Vitor Silverio Rodrigues (vitorsrodrigues@reitoria.unesp.br) on 2014-05-20T14:01:31Z No. of bitstreams: 1 WOS000170613700027.pdf: 109098 bytes, checksum: bae82a7a9c18ecd9f031298d389208e1 (MD5) Made available in DSpace on 2014-05-20T14:01:31Z (GMT). No. of bitstreams: 1 WOS000170613700027.pdf: 109098 bytes, checksum: bae82a7a9c18ecd9f031298d389208e1 (MD5) Previous issue date: 2001-08-01 We discuss an old theorem of Obrechkoff and some of its applications. Some curious historical facts around this theorem are presented. We make an attempt to look at some known results on connection coefficients, zeros and Wronskians of orthogonal polynomials from the perspective of Obrechkoff's theorem. Necessary conditions for the positivity of the connection coefficients of two families of orthogonal polynomials are provided. Inequalities between the kth zero of an orthogonal polynomial p(n)(x) and the largest (smallest) zero of another orthogonal polynomial q(n)(x) are given in terms of the signs of the connection coefficients of the families {p(n)(x)} and {q(n)(x)}, An inequality between the largest zeros of the Jacobi polynomials P-n((a,b)) (x) and P-n((alpha,beta)) (x) is also established. (C) 2001 Elsevier B.V. B.V. All rights reserved. Univ Estadual Paulista, IBILCE, Dept Ciências Comp & Estatist, BR-15054000 Sao Jose do Rio Preto, SP, Brazil Univ Estadual Paulista, IBILCE, Dept Ciências Comp & Estatist, BR-15054000 Sao Jose do Rio Preto, SP, Brazil |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fda92a35dd6567d49f1eccf9a3ebc2f9 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....fda92a35dd6567d49f1eccf9a3ebc2f9 |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |