International Conference on

نویسندگان

  • Yongsheng Ding
  • Yang Xu
  • Da Ruan
  • Yingjun Cao
  • Paul P. Wang
  • Howard G. Clark
  • Alade Tokuta
  • Hongbin Sun
  • Kuangrong Hao
  • Shihuang Shao
  • Ying Zhu
  • Hongfeng Wang
  • Dingwei Wang
  • Xiangfeng Zhang
  • Lihong Ren
  • Lingjuan Wang
  • Chengjian Wei
  • Shuai Huang
  • Bao Liu
  • Junhong Wang
  • Jiajun Lai
  • Yuhong Li
  • Jie Lu
  • Xiaowei Yang
  • Guangquan Zhang
  • Zui Zhang
  • Chenggang Bai
  • Chunmei Lin
  • Yue He
  • Hongchun Yuan
  • Ying Chen
  • Qinghai Chen
  • Xiaohua Liu
  • Chunyan Han
  • Kaiqi Zou
  • Xiaobei Liang
  • Xinghua Liu
  • Daoli Zhu
  • Bingyong Tang
  • Junxi Bi
  • Tao Yu
  • Qiang Li
  • Xiaohong Liu
  • Xianyi Zeng
  • Ludovic Koehl
چکیده

The Hankel transform of an integer sequence (an) is defined as a sequence formed by the determinants of the matrices An, where An is the upper-left submatrix of size n× n of the Hankel matrix A =  a0 a1 a2 a3 · · · a1 a2 a3 a4 · · · a2 a3 a4 a5 · · · .. .. .. .. . . .  . In this talk, methods in deriving the Hankel transform of Bell and other Bell-type numbers will be discussed, particularly, in using Layman’s Theorem on the invariance of Hankel transform under binomial transform. Moreover, the Hankel transform of the q-analogue of noncentral Bell numbers will be derived using Spivey-Steil’s Theorem on the Hankel transform of rising k-binomial transforms.

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تاریخ انتشار 2006