Differential equations associated with generalized Bell polynomials and their zeros

被引：6

作者：

Ryoo, Cheon Seoung ^{[1
]}

机构：

[1] Hannam Univ, Dept Math, Daejeon 306791, South Korea

来源：

OPEN MATHEMATICS | 2016年 / 14卷

关键词：

Differential equations; Bell polynomials; Generalized Bell polynomials; Zeros; EULER NUMBERS;

D O I：

10.1515/math-2016-0075

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials. We give explicit identities for the generalized Bell polynomials. Finally, we investigate the zeros of the generalized Bell polynomials by using numerical simulations.

引用

页码：807 / 815

页数：9

共 50 条

[1] Differential Equations Arising from the Generating Function of the (r, β)-Bell Polynomials and Distribution of Zeros of Equations
Hwang, Kyung-Won
Ryoo, Cheon Seoung
Jung, Nam Soon
MATHEMATICS, 2019, 7 (08)
[2] DIFFERENTIAL EQUATIONS ASSOCIATED WITH DEGENERATE TANGENT POLYNOMIALS AND COMPUTATION OF THEIR ZEROS
Ryoo, C. S.
DYNAMIC SYSTEMS AND APPLICATIONS, 2019, 28 (01): : 153 - 165
[3] Bell polynomials and differential equations of Freud-Type polynomials
Bernardini, A
Ricci, PE
MATHEMATICAL AND COMPUTER MODELLING, 2002, 36 (9-10) : 1115 - 1119
[4] Differential equations for generalized Jacobi polynomials
Koekoek, J
Koekoek, R
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 126 (1-2) : 1 - 31
[5] The estimation of the zeros of the Bell and r-Bell polynomials
Mezo, Istvan
Corcino, Roberto B.
APPLIED MATHEMATICS AND COMPUTATION, 2015, 250 : 727 - 732
[6] APPLICATIONS OF DIFFERENTIAL TRANSFORM AND BELL POLYNOMIALS TO VARIOUS TYPES OF DIFFERENTIAL EQUATIONS
Methi, Giriraj
Kumar, Anil
Aggarwal, Rupal
Tikare, Sanket
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2023, 24 (09) : 1967 - 1976
[7] On Generalized Bell Polynomials
Corcino, Roberto B.
Corcino, Cristina B.
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2011, 2011
[8] Polynomials Satisfying Functional and Differential Equations and Diophantine Properties of Their Zeros
Francesco Calogero
Ge Yi
Letters in Mathematical Physics, 2013, 103 : 629 - 651
[9] Differential equations arising from polynomials of derangements and structure of their zeros
Ryoo, Cheon Seoung
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2018, 56 (1-2) : 533 - 545
[10] Generalized Bell polynomials
Duran, Antonio J.
JOURNAL OF APPROXIMATION THEORY, 2025, 306

← 1 2 3 4 5 →