Hermite polynomials

被引:2
|
作者
Fisk, S [1 ]
机构
[1] Bowdoin Coll, Brunswick, ME 04011 USA
关键词
D O I
10.1006/jcta.2000.3099
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give an elementary proof that a transformation based on the Hermite polynomials preserves the property of having all real roots. (C) 2000 Academic Press.
引用
收藏
页码:334 / 336
页数:3
相关论文
共 50 条
  • [1] Louck Polynomials and Hermite Polynomials
    Yang, Lingling
    PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION (ICMS2009), VOL 2, 2009, : 178 - 181
  • [2] ON HERMITE-HERMITE MATRIX POLYNOMIALS
    Metwally, M. S.
    Mohamed, M. T.
    Shehata, A.
    MATHEMATICA BOHEMICA, 2008, 133 (04): : 421 - 434
  • [3] On the Complex Hermite Polynomials
    Liu, Zhi-Guo
    FILOMAT, 2020, 34 (02) : 409 - 420
  • [4] IDENTITY IN HERMITE POLYNOMIALS
    PHIPPS, MC
    BIOMETRIKA, 1971, 58 (01) : 219 - &
  • [5] A generalisation of Hermite polynomials
    Angelesco
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1914, 158 : 1770 - 1773
  • [6] Hermite polynomials on the plane
    Waldron, Shayne
    NUMERICAL ALGORITHMS, 2007, 45 (1-4) : 231 - 238
  • [7] A characterization of Hermite polynomials
    Kwon, KH
    Yoo, BH
    Yoon, GY
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 78 (02) : 295 - 299
  • [8] Truncated Hermite polynomials
    Dominici, Diego
    Marcellan, Francisco
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2023, : 701 - 732
  • [9] A NOTE ON HERMITE POLYNOMIALS
    Kim, Taekyun
    Kim, Dae San
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 23 (04) : 771 - 780
  • [10] ZEROS OF HERMITE POLYNOMIALS
    CALOGERO, F
    LETTERE AL NUOVO CIMENTO, 1977, 20 (14): : 489 - 490