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http://dx.doi.org/10.5831/HMJ.2018.40.1.199

SUM FORMULAE OF GENERALIZED FIBONACCI AND LUCAS NUMBERS

Cerin, Zvonko (Department of Mathematics, Zagreb University)
Bitim, Bahar Demirturk (Department of Mathematics, Sakarya University)
Keskin, Refik (Department of Mathematics, Sakarya University)

Publication Information

Honam Mathematical Journal / v.40, no.1, 2018 , pp. 199-210 More about this Journal

Abstract

In this paper we obtain some formulae for several sums of generalized Fibonacci numbers $U_n$ and generalized Lucas numbers $V_n$ and their dual forms $G_n$ and $H_n$ by using extensions of an interesting identity by A. R. Amini for Fibonacci numbers to these four kinds of generalizations and their first and second derivatives.

Keywords

generalized Fibonacci sequence; generalized Lucas sequence; dual generalized Fibonacci sequence; dual generalized Lucas sequence; sum of products;

Citations & Related Records

Reference

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