You are currently offline. Some features of the site may not work correctly.

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}
}

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)

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