Spherical Bessel functions and critical lengths

被引：1
|
作者：
Carnicer, J. M. [1 ]
Mainar, E. [1 ]
Pena, J. M. [1 ]
机构：
[1] Univ Zaragoza, Dept Matemat Aplicada IUMA, Zaragoza, Spain
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2023年 / 117卷 / 01期
关键词：
Critical length; Bessel functions; Shape preserving representations; DESIGN;
D O I：
10.1007/s13398-022-01365-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The critical length of a space of functions can be described as the supremum of the length of the intervals where Hermite interpolation problems are unisolvent for any choice of nodes. We analyze the critical length for spaces containing products of algebraic polynomials and trigonometric functions. We show the relation of these spaces with spherical Bessel functions and bound above their critical length by the first positive zero of a Bessel function of the first kind.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] Spherical Bessel functions and critical lengths
    J. M. Carnicer
    E. Mainar
    J. M. Peña
    [J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023, 117
  • [2] Critical lengths of cycloidal spaces are zeros of Bessel functions
    J. M. Carnicer
    E. Mainar
    J. M. Peña
    [J]. Calcolo, 2017, 54 : 1521 - 1531
  • [3] Critical lengths of cycloidal spaces are zeros of Bessel functions
    Carnicer, J. M.
    Mainar, E.
    Pena, J. M.
    [J]. CALCOLO, 2017, 54 (04) : 1521 - 1531
  • [4] ON SPHERICAL BESSEL FUNCTIONS
    HORNER, JM
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 118 (06) : 211 - &
  • [5] UNIFIED BESSEL, MODIFIED BESSEL, SPHERICAL BESSEL AND BESSEL-CLIFFORD FUNCTIONS
    Yasar, Banu Yilmaz
    Ozarslan, Mehmet Ali
    [J]. JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2016, 7 (04): : 77 - 117
  • [6] A differentiation formula for spherical Bessel functions
    Boersma, J
    Glasser, ML
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (08): : 1687 - 1690
  • [7] Laplace transform of spherical Bessel functions
    Ludu, A
    O'Connell, RF
    [J]. PHYSICA SCRIPTA, 2002, 65 (05) : 369 - 372
  • [8] THE DISTRIBUTION OF ZEROS OF SPHERICAL BESSEL-FUNCTIONS
    ARRIOLA, ER
    DEHESA, JS
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 1989, 103 (06): : 611 - 616
  • [9] The spherical Bessel and Struve functions and operational methods
    Babusci, D.
    Dattoli, G.
    Gorska, K.
    Penson, K. A.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 238 : 1 - 6
  • [10] Spherical Bessel functions and explicit quadrature formula
    BenGhanem, R
    Frappier, C
    [J]. MATHEMATICS OF COMPUTATION, 1997, 66 (217) : 289 - 296
12345