IDENTITIES OF SYMMETRY FOR TYPE 2 q-BERNOULLI POLYNOMIALS UNDER SYMMETRIC GROUP S3

被引：0

作者：

Kim, Taekyun ^{[1
,2
]}

Kim, Dae San ^{[3
]}

Dolgy, Dmitriy, V ^{[2
,4
]}

Pyo, Sung-Soo ^{[5
]}

机构：

[1] Xian Technol Univ, Sch Sci, Xian 710021, Shaan, Peoples R China

[2] Kwangwoon Univ, Dept Math, Seoul 01897, South Korea

[3] Sogang Univ, Dept Math, Seoul 04107, South Korea

[4] Far Eastern Fed Univ, Inst Math & Comp Sci, Vladivostok 690950, Russia

[5] Silla Univ, Dept Math Educ, Busan 46958, South Korea

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2020年 / 21卷 / 09期

关键词：

Type 2 q-Bernoulli polynomial; p-adic q-integral; identities of symmetry; symmetric group S-3;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, type 2 q-Bernoulli polynomials were introduced by Kim-Kim-Kim-Kwon. In this paper, we obtain two identities of symmetry which involve the type 2 q- Bernoulli polynomials and are invariant under any permutations in the symmetric group S-3. These are derived from certain p-adic q-integrals on Z which have been fruitfully used in discovering combinatorial and number-theoretic properties and identities about many special numbers and polynomials.

引用

页码：1973 / 1979

页数：7

共 14 条

[1] SOME IDENTITIES OF SYMMETRY FOR q-BERNOULLI POLYNOMIALS UNDER SYMMETRIC GROUP OF DEGREE n
Kim, Dae San
Kim, Taekyun
ARS COMBINATORIA, 2016, 126 : 435 - 441
[2] Identities of symmetry for q-Bernoulli polynomials
Kim, Dae San
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (08) : 2350 - 2359
[3] SOME IDENTITIES OF SYMMETRY FOR CARLITZ q-BERNOULLI POLYNOMIALS INVARIANT UNDER S4
Kim, Dae San
Kim, Taekyun
ARS COMBINATORIA, 2015, 123 : 283 - 289
[4] IDENTITIES OF SYMMETRY FOR THE HIGHER ORDER q-BERNOULLI POLYNOMIALS
Son, Jin-Woo
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (05) : 1045 - 1073
[5] 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
[6] Note on Type 2 Degenerate q-Bernoulli Polynomials
Kim, Dae San
Dolgy, Dmitry, V
Kwon, Jongkyum
Kim, Taekyun
SYMMETRY-BASEL, 2019, 11 (07):
[7] Identities of symmetry for Bernoulli polynomials arising from quotients of Volkenborn integrals invariant under S3
Kim, Dae San
Park, Kyoung Ho
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (10) : 5096 - 5104
[8] A note on type 2 q-Bernoulli and type 2 q-Euler polynomials
Kim, Dae San
Kim, Taekyun
Kim, Han Young
Kwon, Jongkyum
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
[9] Identities of Symmetry for Type 2 Bernoulli and Euler Polynomials
Kim, Dae San
Kim, Han Young
Kim, Dojin
Kim, Taekyun
SYMMETRY-BASEL, 2019, 11 (05):
[10] Some new identities on the twisted carlitz's q-bernoulli numbers and q-bernstein polynomials
Jang, Lee-Chae
Kim, Taekyun
Kim, Young-Hee
Lee, Byungje
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,

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