Some Gaussian binomial sum formulæ with applications

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• 作者：Emrah Kılıç ; Helmut Prodinger
• 关键词：Key wordsGaussian binomial coefficients ; Fibonacci numbers ; q ; analogues ; sum formulæ ; CAS
• 刊名：Indian Journal of Pure and Applied Mathematics
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：47
• 期：3
• 页码：399-407
• 全文大小：118 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Applications of Mathematics
  Mathematics
  Numerical Analysis
  
• 出版者：Springer India
• ISSN：0975-7465
• 卷排序：47

文摘

We introduce and compute some Gaussian q-binomial sums formulæ. In order to prove these sums, our approach is to use q-analysis, in particular a formula of Rothe, and computer algebra. We present some applications of our results.