Generalized Fibonacci Numbers: Sum Formulas - Yüksel Soykan
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Recently, there have been so many studies of the sequences of numbers in the literature and the sequences of numbers were widely used iDevamını oku
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Recently, there have been so many studies of the sequences of numbers in the literature and the sequences of numbers were widely used in many research areas, such as architecture, nature, art, physics and engineering. The Fibonacci numbers occurs everywhere in nature. These numbers has applications to distinct branches of mathematics, as well as varied situations of the world. In this book, closed forms of the sum formulas for generalized Fibonacci (Horadam) numbers are presented and then as special cases, the sum formulas of Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal- Lucas, Mersenne, Mersenne-Lucas, p-Mersenne, p-Mersenne-Lucas, balancing, modified Lucas-balancing, Lucasbalancing, modified Oresme, Oresme-Lucas, Oresme, modified p-Oresme, p-Oresme-Lucas, p-Oresme numbers are given. We present the proofs to indicate how these formulas, in general, were discovered. Of course, all the listed formulas of the sums may be proved by induction, but that method of proof gives..
388 sayfa. 21x30 cm.
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