Connection between bi$^{s}$nomial coefficients and their analogs and symmetric functions
Connection between bi$^{s}$nomial coefficients and their analogs and symmetric functions
复制标题
bi$^{s}$nomial 系数及其类似物和对称函数之间的联系
DOI：
--
复制
发表时间：
2018
期刊：
影响因子：
--
通讯作者：
H. Belbachir
中科院分区：
文献类型：
--
作者：
Abdelghafour Bazeniar;Moussa Ahmia;H. Belbachir
文摘：一方面，我们提出了一种新的对称函数来解释二项式系数及其类似物。另一方面，根据这个函数，我们用格子路径和平铺给出了这些系数的解释。还建立了这些系数的一些恒等式。本文推广了Belbachir和Benmezai的“双S项系数和广义Fibonacci数列的Q-类比”的结果。
Abstract: In this paper, on one hand, we propose a new type of symmetric function to interpret the binomial coefficients and their analogs. On other hand, according to this function, we give an interpretation of these coefficients by lattice paths and tiling. Some identities of these coefficients are also established. This work is an extension of the results of Belbachir and Benmezai’s “A q -analogue for bi s nomial coefficients and generalized Fibonacci sequences”.