The irreducibility of the Bessel polynomials

被引：0
|
作者：
Filaseta, M [1 ]
Trifonov, O [1 ]
机构：
[1] Univ S Carolina, Dept Math, Columbia, SC 29208 USA
来源：
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2002年 / 550卷
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the early 1950's, Emil Grosswald began investigating the irreducibility of the Bessel polynomials y(n) (x) and conjectured the irreducibility of y(n) (x) over the rationals for all positive integers n. This paper resolves the conjecture by establishing the irreducibility of a class of polynomials that includes the Bessel polynomials.
引用
收藏
页码：125 / 140
页数：16
相关论文
共 50 条
  • [21] Irreducibility criteria for skew polynomials
    Churchill, Richard C.
    Zhang, Yang
    JOURNAL OF ALGEBRA, 2009, 322 (11) : 3797 - 3822
  • [22] A RESULTANT CONDITION FOR THE IRREDUCIBILITY OF THE POLYNOMIALS
    PANAITOPOL, L
    STEFANESCU, D
    JOURNAL OF NUMBER THEORY, 1987, 25 (01) : 107 - 111
  • [23] IRREDUCIBILITY TESTING AND FACTORIZATION OF POLYNOMIALS
    ADLEMAN, LM
    ODLYZKO, AM
    MATHEMATICS OF COMPUTATION, 1983, 41 (164) : 699 - 709
  • [24] Zeros and irreducibility of Stern polynomials
    Dilcher, Karl
    Kidwai, Mohammad
    Tomkins, Hayley
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2017, 90 (3-4): : 407 - 433
  • [25] Mutual irreducibility of certain polynomials
    Dewar, M
    Panario, D
    FINITE FIELDS AND APPLICATIONS, 2004, 2948 : 59 - 68
  • [26] A FAMILY OF TESTS FOR IRREDUCIBILITY OF POLYNOMIALS
    Weintraub, Steven H.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (08) : 3331 - 3332
  • [27] IRREDUCIBILITY OF EXTENSIONS OF LAGUERRE POLYNOMIALS
    Laishram, Shanta
    Nair, Saranya G.
    Shorey, Tarlok N.
    FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2020, 62 (02) : 143 - 164
  • [28] Irreducibility of some Faber polynomials
    Guerzhoy, P.
    RAMANUJAN JOURNAL, 2008, 16 (01): : 53 - 57
  • [29] IRREDUCIBILITY OF POLYNOMIALS AND DIOPHANTINE EQUATIONS
    Woo, Sung Sik
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (01) : 101 - 112
  • [30] THE BESSEL POLYNOMIALS
    BURCHNALL, JL
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1951, 3 (01): : 62 - 68
12345