Results 1 to 10 of about 1,420,930 (275)
On the Harmonic and Hyperharmonic Fibonacci Numbers [PDF]
Advances in Difference Equations, 2015 In this paper, we study the theory of the harmonic and the hyperharmonic Fibonacci numbers. Also, we get some combinatoric identities like as harmonic and hyperharmonic numbers and we obtain some useful formulas for $\mathbb{F}_{n}$, which is finite sums
Kesim, Seyhun +2 more
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Fibonacci numbers and orthogonal polynomials [PDF]
Arab Journal of Mathematical Sciences, 2008 We prove that the sequence $(1/F_{n+2})_{n\ge 0}$ of reciprocals of the Fibonacci numbers is a moment sequence of a certain discrete probability, and we identify the orthogonal polynomials as little $q$-Jacobi polynomials with $q=(1-\sqrt{5})/(1+\sqrt{5})
Berg, Christian
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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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On Generalized Fibonacci Numbers
Communications in Advanced Mathematical Sciences, 2020 Fibonacci numbers and their polynomials have been generalized mainly by two ways: by maintaining the recurrence relation and varying the initial conditions, and by varying the recurrence relation and maintaining the initial conditions. In this paper, we introduce and derive various properties of $r$-sum Fibonacci numbers.
Fidel ODUOL, Isaac Owino OKOTH
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The golden ratio in the pulmonary circulation in patients with heart failure and cardiogenic shock. [PDF]
Physiol RepStroke volume is a determinant of both mPAP (left wireframe plot) and PP (right surface plot). Mean pulmonary artery pressure changes with SV with a coefficient of (PVR/t, where t = cardiac interval). The mPAP plot is based on a PVR of 4.2WU (or 0.252 mmHg/mL.s) at cardiac intervals from 400 to 1000 ms and PAWP of 29 mmHg.
Lim HS, Yim IHW.
europepmc +2 more sources
Global warming and obesity: External heat exposure as a modulator of energy balance. [PDF]
FASEB BioadvCore body temperature regulation can significantly influence metabolic processes to maintain energy balance. For example, geographic and environmental factors (global warming) can affect obesity rates and can be tracked along latitudinal boundaries.
Muhammad I +3 more
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On Fibonacci functions with Fibonacci numbers [PDF]
Advances in Difference Equations, 2012 Abstract In this paper we consider Fibonacci functions on the real numbers R, i.e., functions f : R → R such that for all x ∈ R ,
Hee Sik Kim +2 more
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On the Inverse of a Fibonacci Number Modulo a Fibonacci Number Being a Fibonacci Number
Mediterranean Journal of Mathematics, 2023 Let $(F_n)_{n \geq 1}$ be the sequence of Fibonacci numbers. For all integers $a$ and $b \geq 1$ with $\gcd(a, b) = 1$, let $[a^{-1} \!\bmod b]$ be the multiplicative inverse of $a$ modulo $b$, which we pick in the usual set of representatives $\{0, 1, \dots, b-1\}$. Put also $[a^{-1} \!\bmod b] := \infty$ when $\gcd(a, b) > 1$.
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Some Properties of Fibonacci Numbers, Generalized Fibonacci Numbers and Generalized Fibonacci Polynomial Sequences [PDF]
Kyungpook mathematical journal, 2017 In this paper we study the Fibonacci numbers and derive some interesting properties and recurrence relations. We prove some charecterizations for $F_p$, where $p$ is a prime of a certain type. We also define period of a Fibonacci sequence modulo an integer, $m$ and derive certain interesting properties related to them.
Alexandre Laugier, Manjil P. Saikia
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A weighted extension of Fibonacci numbers
Journal of Difference Equations and Applications, 2023 14 pages, comments ...
Bhatnagar, Gaurav +2 more
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