Global Sturm inequalities for the real zeros of the solutions of the Gauss hypergeometric differential equation-Reference-Cited by-同舟云学术

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Global Sturm inequalities for the real zeros of the solutions of the Gauss hypergeometric differential equation

Published:2007-09 Issue:1 Volume:148 Page:92-110
ISSN:0021-9045
Container-title:Journal of Approximation Theory
language:en
Short-container-title:Journal of Approximation Theory

Author:

Deaño Alfredo,Segura Javier

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference5 articles.

1. New inequalities from classical Sturm theorems;Deaño;J. Approx. Theory,2004

2. Numerical algorithms for the real zeros of hypergeometric functions;Gil;Numer. Algorithms,2004

3. A property of the zeros of the Legendre polynomials;Grosjean;J. Approx. Theory,1987

4. Asymptotics and Special Functions;Olver,1997

5. Orthogonal Polynomials;Szegö,1975

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1. Fast and reliable high-accuracy computation of Gauss–Jacobi quadrature;Numerical Algorithms;2020-09-21

2. Fast, reliable and unrestricted iterative computation of Gauss–Hermite and Gauss–Laguerre quadratures;Numerische Mathematik;2019-07-29

3. Inequalities for Extreme Zeros of Some Classical Orthogonal and q-orthogonal Polynomials;Mathematical Modelling of Natural Phenomena;2013

4. Reliable Computation of the Zeros of Solutions of Second Order Linear ODEs Using a Fourth Order Method;SIAM Journal on Numerical Analysis;2010-01

5. Convexity of the zeros of some orthogonal polynomials and related functions;Journal of Computational and Applied Mathematics;2009-12

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