On the Generalized q-Poly-Euler Polynomials of the Second Kind

被引：2
|
作者：
Kurt, Veli [1 ]
机构：
[1] Akdeniz Univ, TR-07058 Antalya, Turkey
来源：
FILOMAT | 2020年 / 34卷 / 02期
关键词：
Bernoulli polynomials and numbers; Euler polynomials and numbers; Apostol-Bernoulli polynomials and numbers; Apostol-Euler polynomials and numbers; the Stirling numbers of second kind; Alternating sums; Unified Apostol-Bernoulli; Euler and Genocchi polynomials; modified Apostol-type polynomials; Q-BERNOULLI; IDENTITIES; NUMBERS;
D O I：
10.2298/FIL2002475K
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we define the generalized q-poly-Euler numbers of the second kind of order alpha and the generalized q-poly-Euler polynomials of the second kind of order alpha. We investigate some basic properties for these polynomials and numbers. In addition, we obtain many identities, relations including the Roger-Sz ' ego polynomials, the Al-Salam Carlitz polynomials, q-analogue Stirling numbers of the second kind and two variable Bernoulli polynomials.
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页码：475 / 482
页数：8
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