Positivity of certain sums over Jacobi kernel polynomials
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Publication:950413
DOI10.1016/J.AAM.2007.12.001zbMath1173.33009OpenAlexW2031686193MaRDI QIDQ950413
Publication date: 22 October 2008
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aam.2007.12.001
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (4)
Closed form solutions of linear difference equations in terms of symmetric products ⋮ On the positivity of the Gillis-Reznick-Zeilberger rational function ⋮ A comparison of algorithms for proving positivity of linearly recurrent sequences ⋮ A hypergeometric inequality
Uses Software
Cites Work
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- SumCracker: A package for manipulating symbolic sums and related objects
- The kernel polynomial method
- Positive Jacobi Polynomial Sums, II
- Positive Sums of the Classical Orthogonal Polynomials
- A procedure for proving special function inequalities involving a discrete parameter
- A posteriori error estimates for Maxwell equations
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