On Gould-Hopper based fully degenerate Type2 poly-Bernoulli polynomials with a \(q\)-parameter

The Journal of Nonlinear Sciences and its Applications

article

E. Negiz¹  M. Acikgoz¹  U. Duran² 

[1]Department of Mathematics, Faculty of Arts, Science, University of Gaziantep

[2]Department of Basic Sciences of Engineering, Faculty of Engineering, Natural Sciences, Iskenderun Technical University

关键词: Gould-Hopper polynomials;    Bernoulli polynomials;    poly-Bernoulli polynomials;    degenerate Bernoulli function;    Stirling numbers of the first kind;   

DOI  :  10.22436/jnsa.016.01.02

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

In this paper, the Gould-Hopper based fully degenerate type2 poly-Stirlingpolynomials of the first kind with a \(q\) parameter are considered and someof their diverse identities and properties are investigated. Then, theGould-Hopper based fully degenerate type2 poly-Bernoulli polynomials with a\(q\) parameter are introduced and some of their properties are analyzed andderived. Furthermore, several formulas and relations covering implicitsummation formulas, recurrence relations and symmetric property are attained.

【 授权许可】

Unknown