A Sequence of Unimodal Polynomials

The purpose of this paper is to establish the unimodality and to determine the mode of a class of Jacobi polynomials which arises in the exact integration of certain rational functions as well as in the Taylor expansion of the double square root.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 1999-09, Vol.237 (1), p.272-287
Main Authors: Boros, George, Moll, Victor H.
Format: Article
Language:English
Subjects:
Approximations and expansions
Exact sciences and technology
Mathematical analysis
Mathematics
Sciences and techniques of general use
Special functions
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Description
Summary:The purpose of this paper is to establish the unimodality and to determine the mode of a class of Jacobi polynomials which arises in the exact integration of certain rational functions as well as in the Taylor expansion of the double square root.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1999.6479