Harmonic and hyperharmonic Fibonacci numbers and applications
2016
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Advisor: Yrd. Doç. Dr. Seyhun Kesim ; Doç. Dr. Naim Tuğlu
Abstract (EN)
In this thesis, harmonic Fibonacci and hyperharmonic Fibonacci numbers are defined. Several sum formulas for the harmonic Fibonacci numbers are obtained by using the difference operator method. Additive identities of the hyperharmonic Fibonacci numbers are given. Euclidean and spectral norms of circulant and r-circulant matrices with the harmonic Fibonacci and hyperharmonic Fibonacci numbers are calculated and some numerical results are found for these matrix norms.
Author
Dr. Can Kızılateş
Institution
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Can Kızılateş (Doctorate thesis). Harmonic and hyperharmonic Fibonacci numbers and applications, 2016, Zonguldak Bülent Ecevit University.
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