Simplifying coefficients in differential equations for generating function of Catalan numbers

被引：10
作者：
Qi, Feng [1 ,2 ,3 ]
Yao, Yong-Hong [3 ]
机构：
[1] Henan Polytech Univ, Inst Math, Jiaozuo 454010, Henan, Peoples R China
[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Inner Mongolia, Peoples R China
[3] Tianjin Polytech Univ, Sch Math Sci, Tianjin 300387, Peoples R China
来源：
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2019年 / 13卷 / 01期
关键词：
Simplifying; coefficient; nonlinear ordinary differential equation; generating function; Catalan number; Faa di Bruno formula; Bell polynomial of the second kind; inversion theorem; BELL POLYNOMIALS; SPECIAL VALUES; FAMILY; FORMULAS;
D O I：
10.1080/16583655.2019.1663782
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In the paper, by the Faa di Bruno formula, several identities for the Bell polynomials of the second kind, and an inversion theorem, the authors simplify coefficients in two families of nonlinear ordinary differential equations for the generating function of the Catalan numbers.
引用
收藏
页码：947 / 950
页数：4
相关论文
共 44 条
  • [41] Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials
    Srivastava, H. M.
    Kucukoglu, Irem
    Simsek, Yilmaz
    JOURNAL OF NUMBER THEORY, 2017, 181 : 117 - 146
  • [42] A new Bell function approach to solve linear fractional differential equations
    Yuzbasi, Suayip
    APPLIED NUMERICAL MATHEMATICS, 2022, 174 : 221 - 235
  • [43] Generating Function Approach to the Derivation of Higher-Order Iterative Methods for Solving Nonlinear Equations
    Zhanlav, Tugal
    Chuluunbaatar, Ochbadrakh
    Ulziibayar, Vandandoo
    MATHEMATICAL MODELING AND COMPUTATIONAL PHYSICS 2017 (MMCP 2017), 2018, 173
  • [44] Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson-Charlier Polynomials and Probability Distribution Function
    Kucukoglu, Irem
    Simsek, Burcin
    Simsek, Yilmaz
    AXIOMS, 2019, 8 (04)
12345