期刊论文详细信息
Advances in Difference Equations
Some explicit identities on Changhee-Genocchi polynomials and numbers
Seog-Hoon Rim1  Joohee Jeong1  Byung-Moon Kim2 
[1] Department of Mathematics Education, Kyungpook National University, Daegu, S. Korea;Department of Mechanical System Engineering, Dongguk University, Gyeongsangbuk-do, S. Korea
关键词: Euler polynomials;    Changhee polynomials;    Genocchi polynomials;    Changhee-Genocchi numbers;    beta and gamma functions;    05A10;    05A19;    11B68;    11S80;   
DOI  :  10.1186/s13662-016-0925-0
学科分类:数学(综合)
来源: SpringerOpen
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【 摘 要 】

In this paper, we introduce a new family of functions, which is called the Changhee-Genocchi polynomials. We study some explicit identities on these polynomials, which are related to Genocchi polynomials and Changhee polynomials. Also, we represent Changhee-Genocchi polynomials by gamma and beta functions. We also study some properties of higher-order Changhee-Genocchi polynomials related to Changhee polynomials and Daehee polynomials.

【 授权许可】

CC BY   

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