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On the Formation of Higher Order Higher Dimensional Line-Sequential Vector Spaces

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Abstract

In this paper we extend our investigation on Fibonacci line-sequence [1], [2] to the formation of general line-sequential vector spaces, or the L-spaces for short.

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References

  1. Lee, Y. J. “Some Basic Properties of the Fibonacci Line-Sequence.” Applications of Fibonacci Numbers, Volume 4. Edited by G. E. Bergum, A. F. Horadam and A. N. Philippou. Kluwer Academic Publishers, Dordrecht, The Netherlands, 1991: pp. 203–213.

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  2. Lee, Y. J. “The Golden-Fibonacci Equivalence.” The Fibonacci Quarterly Vol. 30.3 (1992): pp. 216–219.

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  3. Shannon, A. G. and Horadam, A. F. “Generalizations of Sequences of Lucas and Bell.” Applications of Fibonacci Numbers, Volume 3. Edited by G. E. Bergum, A. F. Horadam and A. N. Philippou. Kluwer Academic Publishers, Dordrecht, The Netherlands, 1990: pp. 299–309.

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  4. Waddill, M. E. and Sacks, L. “Another Generalized Fibonacci Sequence.” The Fibonacci Quarterly, Vol. 5 (1967): pp. 209–222.

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© 1993 Springer Science+Business Media Dordrecht

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Lee, J.Y. (1993). On the Formation of Higher Order Higher Dimensional Line-Sequential Vector Spaces. In: Bergum, G.E., Philippou, A.N., Horadam, A.F. (eds) Applications of Fibonacci Numbers. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2058-6_43

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  • DOI: https://doi.org/10.1007/978-94-011-2058-6_43

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4912-2

  • Online ISBN: 978-94-011-2058-6

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