Some Identities and Recurrence Relations on the Two Variables Bernoulli, Euler and Genocchi Polynomials

被引:1
|
作者
Kurt, Veli [1 ]
Kurt, Burak [2 ]
机构
[1] Akdeniz Univ, Fac Sci, Dept Math, TR-07058 Antalya, Turkey
[2] Akdeniz Univ, Fac Educ, Dept Math, TR-07058 Antalya, Turkey
关键词
Bernoulli numbers and polynomials; Euler polynomials and numbers; Genocchi polynomials and numbers; the Stirling numbers of second kind; q-exponential functions; Q-EXTENSIONS; APOSTOL-BERNOULLI; FORMULAS;
D O I
10.2298/FIL1607757K
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Mahmudov in ([16], [17], [18]) introduced and investigated some q-extensions of the q-Bernoulli polynomials B-n,q((alpha)) (x,y) of order alpha, the q-Euler polynomials E-n,q((alpha)) (x, y) of order alpha and the q-Genocchi polynomials G(n,q)((alpha)) (x, y) of order alpha. In this article, we give some identities for the q-Bernoulli polynomials, q-Euler polynomials and q-Genocchi polynomials and the recurrence relation between these polynomials. We give a different form of the analogue of the Srivastava-Pinter addition theorem.
引用
收藏
页码:1757 / 1765
页数:9
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