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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.
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참고문헌 (11)
참고문헌 신청
A.R.Amini / 2008 / Fibonacci Numbers From a Long Division Formula / Mathematical Spectrum 40:59~61
H. Belbachir / 2007 / Sums of Generalized Fibonacci and Lucas Numbers
Z. Cerin / 2009 / Sums of Products of Generalized Fibonacci and Lucas Numbers / Demonstratio Mathematica XLII(2):247~258
P. Galister / 1997 / Two Fibonacci Sums, A Variation / The Mathematical Gazette 81:85~88
N. Gauthier / 1995 / Fibonacci Sums of the Type ${\Sigma}r^mF_m$ / The Mathematical Gazette 79:364~367
H. Belbachir / 2007 / Sums of Generalized Fibonacci and Lucas Numbers
Z. Cerin / 2009 / Sums of Products of Generalized Fibonacci and Lucas Numbers / Demonstratio Mathematica XLII(2):247~258
P. Galister / 1997 / Two Fibonacci Sums, A Variation / The Mathematical Gazette 81:85~88
N. Gauthier / 1995 / Fibonacci Sums of the Type
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