第二类q-Legendre-Stirling数  

q-Legendre-Stirling numbers of the second kind

作　　者：李阳阳[1] 冯萌萌[1] 郭海丽[2] 

机构地区：[1]大连海事大学数学系,辽宁大连116026 [2]北京城市学院基础部,北京101300

出　　处：《高师理科学刊》2017年第4期1-4,共4页Journal of Science of Teachers＇College and University

基　　金：国家自然科学基金资助项目(61472058);中央高校基本科研业务费专项资金项目(3132016322)

摘　　要：广义Stirling数都是由2类函数相互表达定义的,在第一类q-Legendre-Stirling数的基础上,提出第二类q-Legendre-Stirling数概念.研究了第二类q-Legendre-Stirling数的递推关系、生成函数,及相关的组合恒等式,并且给出了2类q-Legendre-Stirling数之间的关系.The generalized Stifling numbers are defined by two kinds of functions each other, based on the definition of the q - Legendre-Stirling numbers of the first kind, the concept ofq - Legendre-Stirling numbers of the second kind is proposed. The recurrence relations ofq - Legendre-Stifling numbers of the second kind, generating function and some related combinatorial identities are studied. In addition the relationships between two kinds ofq - Legendre- Stifling numbers are given.

关 键 词：第二类q-Legendre-Stirling数 递推关系 生成函数 

分 类 号：O157.1[理学—数学]