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

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