Convexity of the zeros of some orthogonal polynomials and related functions
| Autor: | Kerstin Jordaan, Ferenc Toókos |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
33C45
34C10 42C05 Pure mathematics Gegenbauer polynomials Numerical analysis Applied Mathematics Mathematical analysis Mathematics::Classical Analysis and ODEs Upper and lower bounds Convexity symbols.namesake Computational Mathematics Mathematics - Classical Analysis and ODEs Special functions Orthogonal polynomials symbols Laguerre polynomials Classical Analysis and ODEs (math.CA) FOS: Mathematics Jacobi polynomials Mathematics |
| Zdroj: | Journal of Computational and Applied Mathematics. 233(3):762-767 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/j.cam.2009.02.045 |
| Popis: | We study convexity properties of the zeros of some special functions that follow from the convexity theorem of Sturm. We prove results on the intervals of convexity for the zeros of Laguerre, Jacobi and ultraspherical polynomials, as well as functions related to them, using transformations under which the zeros remain unchanged. We give upper as well as lower bounds for the distance between consecutive zeros in several cases. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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