Results 11 to 20 of about 48,003 (223)
Almost Repdigit k-Fibonacci Numbers with an Application of k-Generalized Fibonacci Sequences
Mathematics, 2023 In this paper, we define the notion of almost repdigit as a positive integer whose digits are all equal except for at most one digit, and we search all terms of the k-generalized Fibonacci sequence which are almost repdigits. In particular, we find all k-
Alaa Altassan, Murat Alan
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Generalized Fibonacci Numbers and Blackwell's Renewal Theorem [PDF]
Statistics & Probability Letters, 2010 We investigate a connection between generalized Fibonacci numbers and renewal theory for stochastic processes. Using Blackwell's renewal theorem we find an approximation to the generalized Fibonacci numbers.
Asmussen +9 more
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Carlitz's Equations on Generalized Fibonacci Numbers [PDF]
Symmetry, 2022 Carlitz solved some Diophantine equations on Fibonacci or Lucas numbers. We extend his results to the sequence of generalized Fibonacci and Lucas numbers.
Min Wang, Peng Yang, Yining Yang
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Some properties of Fibonacci numbers, Fibonacci octonions and generalized Fibonacci-Lucas octonions [PDF]
Advances in Difference Equations, 2015 In this paper we determine some properties of Fibonacci octonions. Also, we introduce the generalized Fibonacci-Lucas octonions and we investigate some properties of these ...
Savin, Diana
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Generalized Fibonacci numbers with five parameters
Thermal Science, 2022 In this paper, we define five parameters generalization of Fibonacci numbers that generalizes Fibonacci, Pell, Modified Pell, Jacobsthal, Narayana, Padovan, k-Fibonacci, k-Pell, Modified k-Pell, k-Jacobsthal numbers and Fibonacci p-numbers, distance ...
Yasemin Taşyurdu
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On Hyperbolic Numbers With Generalized Fibonacci Numbers Components
Communications in Mathematics and Applications, 2021 . In this paper, we introduce the generalized hyperbolic Fibonacci numbers over the bidimensional Clifford algebra of hyperbolic numbers. As special cases, we deal with hyperbolic Fibonacci and hyperbolic Lucas numbers.
Y. Soykan
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On Dual Hyperbolic Generalized Fibonacci Numbers
Indian Journal of Pure and Applied Mathematics, 2019 In this paper, we introduce the generalized dual hyperbolic Fibonacci numbers. As special cases, we deal with dual hyperbolic Fibonacci and dual hyperbolic Lucas numbers. We present Binet's formulas, generating functions and the summation formulas for these numbers. Moreover, we give Catalan's, Cassini's, d'Ocagne's, Gelin-Cesàro's, Melham's
Yüksel Soykan
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Quantum coin flipping, qubit measurement, and generalized Fibonacci numbers [PDF]
Theoretical and mathematical physics, 2021 The problem of Hadamard quantum coin measurement in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
O. Pashaev
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Square numbers, square pyramidal numbers, and generalized Fibonacci polynomials
Journal of New Results in Science, 2022 In this paper, we derive two interesting formulas for square and square pyramidal numbers. We focus on the linear recurrence relation with constant coefficients for square and square pyramidal numbers.
Adem Şahin
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Alternating sums of reciprocal generalized Fibonacci numbers. [PDF]
Springerplus, 2014 Recently Holliday and Komatsu extended the results of Ohtsuka and Nakamura on reciprocal sums of Fibonacci numbers to reciprocal sums of generalized Fibonacci numbers. The aim of this work is to give similar results for the alternating sums of reciprocals of the generalized Fibonacci numbers with indices in arithmetic progression.
Kuhapatanakul K.
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