中国科学(数学)2024,Vol.54Issue(9) :1245-1264.DOI:10.1360/SSM-2023-0273

退化unipoly-Dedekind DC和的互反关系

The reciprocity relations associated with degenerate unipoly-Dedekind DC sums

李红泽 罗玲玲 马元魁
中国科学(数学)2024,Vol.54Issue(9) :1245-1264.DOI:10.1360/SSM-2023-0273

退化unipoly-Dedekind DC和的互反关系

The reciprocity relations associated with degenerate unipoly-Dedekind DC sums

李红泽 1罗玲玲 2马元魁2
扫码查看

作者信息

  • 1. 上海交通大学数学科学学院,上海 200240
  • 2. 西安工业大学基础学院,西安 710021
  • 折叠

摘要

借助退化unipoly-Euler函数和第二类退化unipoly-Euler函数,本文首次定义两类退化unipoly-Dedekind DC(Daehee-Changhee)和.利用unipoly函数的定义、两类退化Stirling数的定义、退化Genocchi多项式和退化Genocchi数等的定义得到退化unipoly-Euler函数、第二类退化unipoly-Euler函数满足的一些组合恒等式和性质,并证明两类退化unipoly-Dedekind DC和满足互反关系.

Abstract

Based on the degenerate unipoly-Euler functions and type 2 degenerate unipoly-Euler functions,we first introduce the two types of degenerate unipoly-Dedekind type DC(Daehee-Changhee)sums.By using the definitions of unipoly functions,degenerate Stirling numbers of the first kind and the second kind,degenerate Genocchi polynomials,and degenerate Genocchi numbers,we obtain several combinatorial identities and proper-ties of the degenerate unipoly-Euler functions and the type 2 degenerate unipoly-Euler functions.The two types of degenerate unipoly-Dedekind type DC sums are shown to satisfy reciprocity relations.

关键词

退化unipoly-Euler多项式/退化unipoly-Genocchi多项式/第二类退化unipoly-Euler多项式/第二类退化unipoly-Genocchi多项式/退化unipoly-Dedekind/DC和/第二类退化unipoly-Dedekind/DC和

Key words

degenerate unipoly-Euler polynomials/degenerate unipoly-Genocchi polynomials/type 2 de-generate unipoly-Euler polynomials/type 2 degenerate unipoly-Genocchi polynomials/degenerate unipoly-Dedekind type DC sums/type 2 degenerate unipoly-Dedekind type DC sum

引用本文复制引用

基金项目

国家自然科学基金(12171311)

国家自然科学基金(12271320)

出版年

2024
中国科学(数学)
中国科学院

中国科学(数学)

CSTPCDCSCD北大核心
影响因子:0.221
ISSN:1674-7216
参考文献量17
段落导航相关论文