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  • 标题:Incomplete Bivariate Fibonacci and Lucas <svg style="vertical-align:-3.294pt;width:11.0875px;" id="M1" height="14.1125" version="1.1" viewBox="0 0 11.0875 14.1125" width="11.0875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.1125)"> <g transform="translate(72,-60.71)"> <text transform="matrix(1,0,0,-1,-71.95,64.04)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝑝</tspan> </text> </g> </g> </svg>-Polynomials
  • 本地全文:下载
  • 作者:Dursun Tasci ; Mirac Cetin Firengiz ; Naim Tuglu
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2012
  • 卷号:2012
  • DOI:10.1155/2012/840345
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We define the incomplete bivariate Fibonacci and Lucas 𝑝-polynomials. In the case 𝑥=1, 𝑦=1, we obtain the incomplete Fibonacci and Lucas 𝑝-numbers. If 𝑥=2, 𝑦=1, we have the incomplete Pell and Pell-Lucas 𝑝-numbers. On choosing 𝑥=1, 𝑦=2, we get the incomplete generalized Jacobsthal number and besides for 𝑝=1 the incomplete generalized Jacobsthal-Lucas numbers. In the case 𝑥=1, 𝑦=1, 𝑝=1, we have the incomplete Fibonacci and Lucas numbers. If 𝑥=1, 𝑦=1, 𝑝=1, 𝑘=⌊(𝑛−1)/(𝑝
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