Identities Related to Special Polynomials and Combinatorial Numbers

被引：3
|
作者：
Yuluklu, Eda [1 ]
Simsek, Yilmaz [2 ]
Komatsu, Takao [3 ]
机构：
[1] Univ Usak, Fac Art & Sci, Dept Math, Usak, Turkey
[2] Univ Akdeniz, Fac Sci, Dept Math, TR-07058 Antalya, Turkey
[3] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China
来源：
FILOMAT | 2017年 / 31卷 / 15期
关键词：
Bernoulli numbers; Euler numbers; Array polynomials; Stirling numbers; Generating functions; Functional equation; Binomial coefficients; Combinatorial sum; GENERALIZED APOSTOL TYPE; EULER POLYNOMIALS; BERNOULLI NUMBERS; UMBRAL CALCULUS; Q-EXTENSIONS; SUMS; FAMILIES; FORMULAS;
D O I：
10.2298/FIL1715833Y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to give some new identities and relations related to the some families of special numbers such as the Bernoulli numbers, the Euler numbers, the Stirling numbers of the first and second kinds, the central factorial numbers and also the numbers y(1)(n, k; lambda) and y(2)(n, k; lambda) which are given Simsek [31]. Our method is related to the functional equations of the generating functions and the fermionic and bosonic p-adic Volkenborn integral on Z(p). Finally, we give remarks and comments on our results.
引用
收藏
页码：4833 / 4844
页数：12
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