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Conjectured inequalities for Jacobi polynomials and their largest zeros
Authors:Walter Gautschi  Paul Leopardi
Affiliation:(1) Department of Computer Sciences, Purdue University, West Lafayette, IN 47907-2066, USA;(2) School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia
Abstract:
Inequalities are conjectured for the Jacobi polynomials $P^{{{left( {alpha ,beta } right)}}}_{n} $ and their largest zeros. Special attention is given to the cases β = α − 1 and β = α.
Keywords:Jacobi polynomials  Zeros  Inequalities
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