On an Analogue of Euler Polynomials and Related to Extended Fermionic p-Adic Integrals on Zp

被引：0

作者：

Qi, Feng ^{[1
,4
]}

Araci, Serkan ^{[2
]}

Acikgoz, Mehmet ^{[3
]}

机构：

[1] Tianjin Polytech Univ, Dept Math, Coll Sci, Tianjin 300387, Peoples R China

[2] Hasan Kalyoncu Univ, Dept Econ, Fac Econ Adm & Social Sci, TR-27410 Gaziantep, Turkey

[3] Gaziantep Univ, Fac Sci & Arts, Dept Math, TR-27310 Gaziantep, Turkey

[4] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Inner Mongolia, Peoples R China

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2017年 / 41卷 / A3期

关键词：

Appell sequence; Sheffer sequence; Euler number; Euler polynomial; Formal power series; Fermionic p-adic integral on Z(p); Umbral calculus; IDENTITIES; BERNOULLI; SYMMETRY; NUMBERS;

D O I：

10.1007/s40995-017-0274-1

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In the paper, using the extended fermionic p-adic integral on Z(p), the authors find some applications of the umbral calculus. From these applications, the authors derive some identities on the weighted Euler numbers and polynomials. In other words, the authors investigate systematically the class of Sheffer sequences in connection with the generating function of the weighted Euler polynomials.

引用

页码：613 / 618

页数：6

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