Results 111 to 120 of about 4,398 (223)

The Pascal-Fibonacci numbers

open access: yes, 2013
. The Pascal-Fibonacci (PF) numbers for a given Fibonacci number sum to give the values of that Fibonacci number. Individual PF numbers are members of one of the triangular, tetrahedral or pentagonal series or have factors in common with the pyramidal or
A G Shannon, J V Leyendekkers
core  

Closed forms for 10 families of finite sums of fractional generalized Fibonacci products [PDF]

open access: yes, 2018
© 2018 The Fibonacci Association. All rights reserved. In this paper, we present closed forms for 10 families of finite sums where the denominator of the summand is a product of generalized Fibonacci numbers.
Melham, RS
core  

On Certain Properties of Parametric Kinds of Apostol-Type Frobenius–Euler–Fibonacci Polynomials

open access: yesAxioms
This paper presents an overview of cosine and sine Apostol-type Frobenius–Euler–Fibonacci polynomials, as well as several identities that are associated with these polynomials.
Hao Guan   +3 more
doaj   +1 more source

$$h$$ h -analogue of Fibonacci numbers

open access: yesThe Ramanujan Journal, 2014
21 pages, No ...
openaire   +3 more sources

GAUSSIAN DUAL FIBONACCI NUMBERS

open access: yes, 2018
In this paper, firstly we defined Gaussian dual number and Gaussian dual Fibonacci numbers later, we obtained two-dimensional recurrence relations and some results regarding Gaussian dual Fibonacci numbers.
Aydin, Fugen Torunbalci, YÜCE, Salim
core  

On two-parameters generalization of Fibonacci numbers

open access: yes, 2017
In this paper we introduce  a new two-parameters generalization ofFibonacci numbers - distance s-Fibonacci numbers  F_s(k,n). We generalize known distance Fibonacci numbers by adding an additional integer parameter s.
Dorota Bród, Bród, Dorota
core   +1 more source

Fibonacci numbers: A population dynamics perspective. [PDF]

open access: yesHeliyon, 2019
Supriatna AK, Carnia E, Ndii MZ.
europepmc   +1 more source

Three closed forms for convolved Fibonacci numbers

open access: yesResults in Nonlinear Analysis, 2020
In the paper, by virtue of the Faà di Bruno formula and several properties of the Bell polynomials of the second kind, the author computes higher order derivatives of the generating function of convolved Fibonacci numbers and, consequently, derives three
Feng Qi
doaj  

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