Turán's inequality for ultraspherical polynomials revisited
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Publication:6180064
DOI10.7153/mia-2023-26-22arXiv2002.01393OpenAlexW4372054387MaRDI QIDQ6180064
Publication date: 18 January 2024
Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.01393
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Spherical harmonics (33C55)
Cites Work
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- Sharp bounds for the extreme zeros of classical orthogonal polynomials
- Bounds on Turán determinants
- On the extension of Turán's inequality to Jacobi polynomials
- On certain determinants whose elements are orthogonal polynomials
- Identities and inequalities concerning orthogonal polynomials and Bessel functions
- Explicit evaluations of Turán expressions
- Positivity of Tur\'an determinants for orthogonal polynomials
- Higher order Turán inequalities
- An extension of Turán's inequality
- On Turan's Inequality for Ultra-Spherical Polynomials
- An Inequality of Turan Type for Jacobi Polynomials
- On an inequality of P. Turán concerning Legendre polynomials
- On inequalities of the Turán type
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