Generalized transformations on ratios of Fibonacci and Lucas numbers

Authors

  • Ioan Lazăr Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy, Romania
  • Adrian Mureşan Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy, Romania
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References

Gill, J., Miller, G., Newton's Method and Ratios of Fibonacci Numbers, Fibonacci Quart, 19 (1981).

Hardy, G.H., Wright, E.M., An introduction to the Theory of Numbers, London: Oxford, 1968.

Horadan, A.F., Basic Properties of a Certain Generalized Sequence of Numbers, Fibonacci Quart, 3 (1995), pp. 161-176.

McCabe, J.H., Phillips, G.M., Aitken Sequences and Generalized Fibonacci Numbers, Math. Comp., 45(1985), pp. 553-558.

Muskat, J.B., Generalized Fibonacci and Lucas Sequences and Rootfinding Methods, Math. Comp., 61(1993), pp. 365-372.

Popov, B.S., Some Accelerations of the Convergence of Cedrtain Class of Sequences, Bulletin de la Société des Mathématiciens et des Informaticiens de Macédonie, 16(1992), pp. 37-42.

Vuhandi, L.K., Ob iterationih metodah pri resenii uravnenii, Avtoreferat dissdertatii, Tartusskii Gos. Univ. (1995).

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Published

1995-08-01

How to Cite

Lazăr, I., & Mureşan, A. (1995). Generalized transformations on ratios of Fibonacci and Lucas numbers. Rev. Anal. Numér. Théor. Approx., 24(1), 169–179. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1995-vol24-nos1-2-art18

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