Corpus ID: 18687508

SUMMATION OF CERTAIN RECIPROCAL SERIES RELATED TO THE GENERALIZED FIBONACCI AND LUCAS NUMBERS

@inproceedings{Zhao1998SUMMATIONOC,
  title={SUMMATION OF CERTAIN RECIPROCAL SERIES RELATED TO THE GENERALIZED FIBONACCI AND LUCAS NUMBERS},
  author={Fengzhen Zhao},
  year={1998}
}
  • Fengzhen Zhao
  • Published 1998
  • U„(P, q) = ̂ = | ^ , V„{p, q) = a" +/?", where a = £ ^ , P = ^ , A = p>-4q,p>0, and*<0. It is well known that {Un(l, -1)} and {Vn(l, -1)} are the classical Fibonacci sequence \Fn} and the Lucas sequence {Ln}. There are many publications dealing with summation of reciprocal series related to the classical Fibonacci and Lucas numbers (see, e.g., [2]-[5]). Backstrom [3] obtained S ^ i T p = # <^dd) (1) 
    7 Citations
    THE FIBONACCI QUARTERLY
    • FIBONACCI QUARTERLY
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    • 34
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    • 2
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    References

    SHOWING 1-10 OF 12 REFERENCES
    A Course of Modern Analysis
    • 8,060
    • PDF
    Summation of Certain Reciprocal Series Related to Fibonacci and Lucas Numbers." The Fibonacci Quarterly 2 9 3 (1991):200-04
    • 1991
    A Solution to a Tantalizing Problem." The Fibonacci Quarterly 2 4
    • 1986
    On Reciprocal Series Related to Fibonacci Numbers with Subscripts in Arithmetic Progression.
    • The Fibonacci Quarterly
    • 1981
    Cambridge University Press, 1984
    • AMS Classification Number: 11B39 Author and Title Index The TITLE, AUTHOR, ELEMENTARY PROBLEMS, ADVANCED PROBLEMS, and KEY-WORD indices for Volumes 1-38.3
    • 2000
    Summation of Certain Reciprocal Series Related to Fibonacci and Lucas Numbers
    • The Fibonacci Quarterly
    • 1991
    A Solution to a Tantalizing Problem
    • The Fibonacci Quarterly
    • 1986
    Almkvisi " A Solution to a Tantalizing Problem
    • 1986
    Summation of Reciprocal Series of Numerical Functions of Second Order
    • The Fibonacci Quarterly
    • 1986
    Summation of Reciprocal Series of Numerical Functions of Second Order." The Fibonacci Quarterly 2 4
    • 1986