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Generating functions of the incomplete Fibonacci and Lucas numbers

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Abstract

For the incomplete Fibonacci and incomplete Lucas numbers, which were introduced and studied recently by P. Filliponi [Rend. Circ. Math. Palermo (2)45 (1996), 37–56], the authors derive two classes of generating functions in terms of the familiar Fibonacci and Lucas numbers, respectively.

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References

  1. Filipponi P.,Incomplete Fibonacci and Lucas Numbers, Rend. Circ. Mat. Palermo45 (1996), 37–56.

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  2. Pólya G., Szegö G.,Problems and Theorems in Analysis, Vol. I (Translated from the German by D. Aeppli), Springer-Verlag, New York, Heidelberg and Berlin, 1972.

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  3. Srivastava H. M., Manocha H. L.,A Treatise on Generating Functions Halsted Pres (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane, and Toronto, 1984.

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Authors and Affiliations

  1. Mathematical Institute, Kossuth Lajos University, H-4010, Debrecen, Hungary

    Á. Pintér

  2. Department of Mathematics and Statistics, University of Victoria, V8W 3P4, Victoria, British Columbia, Canada

    H. M. Srivastava

Authors
  1. Á. Pintér
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  2. H. M. Srivastava
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Correspondence to Á. Pintér.

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Pintér, Á., Srivastava, H.M. Generating functions of the incomplete Fibonacci and Lucas numbers. Rend. Circ. Mat. Palermo 48, 591–596 (1999). https://doi.org/10.1007/BF02844348

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  • DOI: https://doi.org/10.1007/BF02844348

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