Inequalities for zeros of Jacobi polynomials via Obrechkoff's theorem
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Abstract
In this paper we obtain sharp limits for all the zeros of Jacobi polynomials. We employ Obrechkoff's theorem on generalized Descartes' rule of signs and certain elaborated connection formulae which involve Jacobi and Laguerre polynomials. © 2011 American Mathematical Society.
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Keywords
Connection formula, Jacobi polynomial, Laguerre polynomial., Obrechkoff's theorem, Zeros
Language
English
Citation
Mathematics of Computation, v. 81, n. 278, p. 991-1004, 2012.
