Bivariate Extension of Bell Polynomials

被引:0
|
作者
Zheng, Yuanping [1 ]
Li, Nadia N. [1 ]
机构
[1] Zhoukou Normal Univ, Sch Math & Stat, Zhoukou, Henan, Peoples R China
基金
美国国家科学基金会;
关键词
Stirling number of the second kind; r-Stirling number; Bell polynomial;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study bivariate extensions of Bell polynomials and r-Bell polynomials. Some identities related to the r-Stirling numbers and Bell polynomials are presented as special cases.
引用
收藏
页数:8
相关论文
共 50 条
  • [1] PROBABILISTIC BIVARIATE BELL POLYNOMIALS
    Kim, Dae San
    Kim, Taekyun
    QUAESTIONES MATHEMATICAE, 2025,
  • [2] An extension of the Bell polynomials
    Natalini, P
    Ricci, PE
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (4-5) : 719 - 725
  • [3] The Laplace Transform of Composed Functions and Bivariate Bell Polynomials
    Caratelli, Diego
    Srivastava, Rekha
    Ricci, Paolo Emilio
    AXIOMS, 2022, 11 (11)
  • [4] Super extension of Bell polynomials with applications to supersymmetric equations
    Fan, Engui
    Hon, Y. C.
    JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (01)
  • [5] An extension of the Taylor series expansion by using the Bell polynomials
    Mohammad Masjed-Jamei
    Zahra Moalemi
    Wolfram Koepf
    H. M. Srivastava
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 1445 - 1461
  • [6] An extension of the Taylor series expansion by using the Bell polynomials
    Masjed-Jamei, Mohammad
    Moalemi, Zahra
    Koepf, Wolfram
    Srivastava, H. M.
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (02) : 1445 - 1461
  • [7] BIVARIATE EXTENSION OF THE METHOD OF POLYNOMIALS FOR BONFERRONI-TYPE INEQUALITIES
    GALAMBOS, J
    XU, Y
    JOURNAL OF MULTIVARIATE ANALYSIS, 1995, 52 (01) : 131 - 139
  • [8] Scattered data fitting by direct extension of local polynomials to bivariate splines
    Davydov, O
    Zeilfelder, F
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2004, 21 (3-4) : 223 - 271
  • [9] Scattered Data Fitting by Direct Extension of Local Polynomials to Bivariate Splines
    Oleg Davydov
    Frank Zeilfelder
    Advances in Computational Mathematics, 2004, 21 : 223 - 271
  • [10] Applications and Properties for Bivariate Bell-Based Frobenius-Type Eulerian Polynomials
    Khan, Waseem Ahmad
    Alatawi, Maryam Salem
    Duran, Ugur
    JOURNAL OF FUNCTION SPACES, 2023, 2023