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On Gautschi’s conjecture on subrange Jacobi polynomials

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Title: On Gautschi’s conjecture on subrange Jacobi polynomials

Authors: Gradimir Milovanovi´c

Journal: Innovative journal of mathematics

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Year: 2022

Volume: 1

Issue: 1

Language: en

DOI: 10.55059/ijm.2022.1.1/15

Keywords: MonotonicityOrthogonal polynomialSubrange Jacobi polynomialsZeros

Categories
Liver Failure (4) Orthogonal Polynomials (4) Mathematical Analysis (43) Polynomial Zeros (1) Medicine (22336) Mathematics (5170) Mortality (95) Pathology (12652) Approximation Theory (21) Hepatology (3886)

Abstract

In this short note, we give a partial positive answer to Gautschi’s conjecture about the monotonicity of positive zeros of subrange Jacobi polynomials, stated recently in his paper [Numer. Algorithms 79 (2018), no. 3, 759–768].

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