孪生组合恒等式(十)——推广Fibonacci数与推广Lucas数类型 |
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引用本文: | 耿济.孪生组合恒等式(十)——推广Fibonacci数与推广Lucas数类型[J].海南大学学报(自然科学版),2003,21(3):193-198. |
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作者姓名: | 耿济 |
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作者单位: | 海南大学,理工学院,海南,海口,570228 |
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基金项目: | 海南省教育厅自然科学资助项目,琼教高(1996-10) |
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摘 要: | Fibonacci数与Lucas数具有相同的递推关系,它们是一对孪生数列.数学家Hardy和Wright提出广义Fibonacci数与广义Lucas数的概念,本文进一步加以推广,应用形式幂级数的方法获得5组孪生组合恒等式.
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关 键 词: | 孪生 组合 恒等式 推广Fibonacci数 推广Lucas数 |
文章编号: | 1004-1729(2003)03-0193-06 |
修稿时间: | 2003年2月28日 |
Combinatorial Twin Identities(Ⅹ):Generalized Fibonacci's Number and Generalized Lucas's Number Type |
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Abstract: | Fibonacci's number and Lucas's number are the same recurrence relations,they are a pair of twin sequence of number.Mathematicians Hardy and Wright had presented a conception of extended Fibonacci's number and extended Lucas's number.Based on that,the author obtains a new concept,meantime, also obtains five groups of combinatorial twin identities through the operation of formal power series. |
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Keywords: | twin combination identity generalized Fibonacci's number generalized Lucacs's number |
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