A sequence of unimodal polynomials

被引:21
|
作者
Boros, G [1 ]
Moll, VH
机构
[1] Univ New Orleans, Dept Math, New Orleans, LA 70148 USA
[2] Tulane Univ, Dept Math, New Orleans, LA 70118 USA
关键词
D O I
10.1006/jmaa.1999.6479
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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. (C) 1999 Academic Press.
引用
收藏
页码:272 / 287
页数:16
相关论文
共 50 条
  • [1] Polynomials with Palindromic and Unimodal Coefficients
    Hua SUN
    Yi WANG
    Hai Xia ZHANG
    Acta Mathematica Sinica,English Series, 2015, (04) : 565 - 575
  • [2] Polynomials with palindromic and unimodal coefficients
    Hua Sun
    Yi Wang
    Hai Xia Zhang
    Acta Mathematica Sinica, English Series, 2015, 31 : 565 - 575
  • [3] On two unimodal descent polynomials
    Fu, Shishuo
    Lin, Zhicong
    Zeng, Jiang
    DISCRETE MATHEMATICS, 2018, 341 (09) : 2616 - 2626
  • [4] Polynomials with Palindromic and Unimodal Coefficients
    Hua SUN
    Yi WANG
    Hai Xia ZHANG
    Acta Mathematica Sinica, 2015, 31 (04) : 565 - 575
  • [5] Polynomials with palindromic and unimodal coefficients
    Sun, Hua
    Wang, Yi
    Zhang, Hai Xia
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2015, 31 (04) : 565 - 575
  • [6] A unimodal sequence for hypergraphs
    Acharya, BD
    NATIONAL ACADEMY SCIENCE LETTERS-INDIA, 2001, 24 (5-12): : 130 - 131
  • [7] PROOF OF A CONJECTURE ABOUT UNIMODAL POLYNOMIALS
    ALMKVIST, G
    JOURNAL OF NUMBER THEORY, 1989, 32 (01) : 43 - 57
  • [8] Rank polynomials of fence posets are unimodal
    Oguz, Ezgi Kantarci
    Ravichandran, Mohan
    DISCRETE MATHEMATICS, 2023, 346 (02)
  • [9] SOME UNIMODAL RECIPROCAL POLYNOMIALS WITH POSITIVE COEFFICIENTS
    EVANS, R
    MONTGOMERY, P
    AMERICAN MATHEMATICAL MONTHLY, 1991, 98 (09): : 870 - 872
  • [10] REPRESENTATIONS OF SL (2,C) AND UNIMODAL POLYNOMIALS
    ALMKVIST, G
    JOURNAL OF ALGEBRA, 1987, 108 (02) : 283 - 309