Conjectured inequalities for Jacobi polynomials and their largest zeros

Walter Gautschi; Paul Leopardi

doi:10.1007/s11075-007-9067-5

Conjectured inequalities for Jacobi polynomials and their largest zeros

Walter Gautschi^*, Paul Leopardi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

Inequalities are conjectured for the Jacobi polynomials P_n ^(α,β) and their largest zeros. Special attention is given to the cases β∈=∈α∈-∈1 and β∈= ∈α.

Original language	English
Pages (from-to)	217-230
Number of pages	14
Journal	Numerical Algorithms
Volume	45
Issue number	1-4
DOIs	https://doi.org/10.1007/s11075-007-9067-5
Publication status	Published - Aug 2007
Externally published	Yes

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title = "Conjectured inequalities for Jacobi polynomials and their largest zeros",

abstract = "Inequalities are conjectured for the Jacobi polynomials Pn (α,β) and their largest zeros. Special attention is given to the cases β∈=∈α∈-∈1 and β∈= ∈α.",

keywords = "Inequalities, Jacobi polynomials, Zeros",

author = "Walter Gautschi and Paul Leopardi",

year = "2007",

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AU - Gautschi, Walter

AU - Leopardi, Paul

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AB - Inequalities are conjectured for the Jacobi polynomials Pn (α,β) and their largest zeros. Special attention is given to the cases β∈=∈α∈-∈1 and β∈= ∈α.

KW - Inequalities

KW - Jacobi polynomials

KW - Zeros

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DO - 10.1007/s11075-007-9067-5

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EP - 230

JO - Numerical Algorithms

JF - Numerical Algorithms

IS - 1-4

ER -

Conjectured inequalities for Jacobi polynomials and their largest zeros

Abstract

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