2010 · 13 citations · 4 references
Natural SciencesMathematicsAlgebraNumber TheoryAlgebraic Number TheoryAnalytic Number TheoryCombinatorial Number TheoryGenerating FunctionsAsymptotic ExpansionsDarboux SumDarboux TheoremDarboux TransformationsExponential SumsInfinite Sums
In this paper, we discuss the properties of hyperfibonacci numbers and hyperlucas numbers. We derive some identities for hyperfibonacci and hyperlucas numbers by the method of coefficients. Furthermore, we give asymptotic expansions of certain sums involving hyperfibonacci and hyperlucas numbers by Darboux’s method. 1
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Combinatorial sums and finite differences
Michael Z. Spivey · Discrete Mathematics · 2007 · 79 citations