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
收藏
页码：1973 / 1979
页数：7
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