Some identities of higher-order Bernoulli, Euler, and Hermite polynomials arising from umbral calculus

被引：2

作者：

Kim, Dae San ^{[1
]}

Kim, Taekyun ^{[2
]}

Dolgy, Dmitry V. ^{[3
]}

Rim, Seog-Hoon ^{[4
]}

机构：

[1] Sogang Univ, Dept Math, Seoul 121742, South Korea

[2] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea

[3] Kwangwoon Univ, Seoul 139701, South Korea

[4] Kyungpook Natl Univ, Dept Math Educ, Taegu 702701, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

Bernoulli polynomial; Euler polynomial; Abel polynomial;

D O I：

10.1186/1029-242X-2013-211

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study umbral calculus to have alternative ways of obtaining our results. That is, we derive some interesting identities of the higher-order Bernoulli, Euler, and Hermite polynomials arising from umbral calculus to have alternative ways.

引用

页数：10

共 50 条

[31] Higher order multivariable Euler's polynomials and higher-order multivariable Bernoulli's polynomials
Huizhou Univ, Huizhou, China
Appl Math Mech Engl Ed, 9 (895-906):
[32] Some identities for Bernoulli and Euler polynomials
Wu, KJ
Sun, ZW
Pan, H
FIBONACCI QUARTERLY, 2004, 42 (04): : 295 - 299
[33] Some identities on the higher-order twisted q-Euler numbers and polynomials
Ryoo, C. S.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 22 (05) : 825 - 830
[34] A New Class of Higher-order Hypergeometric Bernoulli Polynomials Associated with Hermite Polynomials
Khan, Waseem A.
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
[35] IDENTITIES OF SYMMETRY FOR HIGHER-ORDER q-BERNOULLI POLYNOMIALS
Kim, Dae San
Kim, Taekyun
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 18 (06) : 1077 - 1088
[36] Some Identities of the Higher-Order Type 2 Bernoulli Numbers and Polynomials of the Second Kind
Kim, Taekyun
San Kim, Dae
Dolgy, Dmitry, V
Lee, Si-Hyeon
Kwon, Jongkyum
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2021, 128 (03): : 1121 - 1132
[37] SOME IDENTITIES OF FULLY DEGENERATE DOWLING AND FULLY DEGENERATE BELL POLYNOMIALS ARISING FROM λ-UMBRAL CALCULUS
Ma, Yuankui
Kim, Taekyun
Lee, Hyunseok
Kim, Dae San
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (10)
[38] Some identities of extended degenerate r-central Bell polynomials arising from umbral calculus
Kim, Taekyun
Kim, Dae San
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (01)
[39] Some identities of extended degenerate r-central Bell polynomials arising from umbral calculus
Taekyun Kim
Dae San Kim
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114
[40] Some Identities on the Second Kind Bernoulli Polynomials of order α and Second Kind Euler Polynomials of order α
Kurt, Burak
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 1479 : 352 - 355

← 1 2 3 4 5 →