Results 21 to 30 of about 127 (112)

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
Isaac Owino Okoth, Fidel Oduol
doaj   +1 more source

Deriving a Formula in Solving Reverse Fibonacci Means

Recoletos Multidisciplinary Research Journal, 2022
Reverse Fibonacci sequence $\{J_n\}$ is defined by the relation $J_n = 8(J_{n-1} - J_{n-2})$ for $n\geq2$ with $J_0=0$ and $J_1=1$ as initial terms. A few formulas have been derived for solving the missing terms of a sequence in books and mathematical ...
Steven Elizalde, Romeo Patan
doaj   +1 more source

On Third Order Bronze Fibonacci Quaternions

, 2022
In this study, we define third order bronze Fibonacci quaternions. We obtain the generating functions, the Binet’s formula and some properties of these quaternions.
Jeta ALO, Alo, Jeta
core   +1 more source

Dual-Gaussian Pell and Pell-Lucas numbers

Cumhuriyet Science Journal, 2022
In this study, we define a new type of Pell and Pell-Lucas numbers which are called dual-Gaussian Pell and dual-Gaussian Pell-Lucas numbers. We also give the relationship between negadual-Gaussian Pell and Pell-Lucas numbers and dual-complex Pell
Hasan Gökbaş
doaj   +1 more source

On the Products of k-Fibonacci Numbers and k-Lucas Numbers

International Journal of Mathematics and Mathematical Sciences, 2014
In this paper we investigate some products of k-Fibonacci and k-Lucas numbers. We also present some generalized identities on the products of k-Fibonacci and k-Lucas numbers to establish connection formulas between them with the help of Binet's formula.
Bijendra Singh, Kiran Sisodiya, Farooq Ahmad   +2 more
doaj   +1 more source

On Bicomplex Pell and Pell-Lucas Numbers

Communications in Advanced Mathematical Sciences, 2018
In this paper, bicomplex Pell and bicomplex Pell-Lucas numbers are defined. Also, negabicomplex Pell and negabicomplex Pell-Lucas numbers are given. Some algebraic properties of bicomplex Pell and bicomplex Pell-Lucas numbers which are connected between ...
Fügen Torunbalcı Aydın
doaj   +1 more source

Some properties of extended remainder of binet’s first formula for logarithm of gamma function

, 2010
In the paper, we extend Binet’s first formula for the logarithm of the gamma function and investigate some properties, including inequalities, star-shaped and sub-additive properties and the complete monotonicity, of the extended remainder of Binet’s ...
Feng Qi, Bai-Ni Guo
core   +1 more source

On the Lichtenberg hybrid quaternions [PDF]

Mathematica Moravica
In this study, we define Lichtenberg hybrid quaternions. We give the Binet's formula, the generating functions, exponential generating functions and sum formulas of these quaternions. We find some relations between Jacobsthal hybrid quaternions, Mersenne
Morales Gamaliel
doaj   +1 more source

On the bicomplex Gaussian Fibonacci and Gaussian Lucas numbers

, 2022
We give the bicomplex Gaussian Fibonacci and the bicomplex Gaussian Lucas numbers and establish the generating functions and Binet’s formulas related to these numbers.
Özkan, Engin, Kuloğlu, Bahar
core   +1 more source

Generalized Identities Involving Common Factors of Generalized Fibonacci, Jacobsthal and Jacobsthal-Lucas Numbers

International Journal of Analysis and Applications, 2013
In this paper, we present generalized identities involving common factors of generalized Fibonacci, Jacobsthal and jacobsthal-Lucas numbers. Binet’s formula will employ to obtain the identities.
Yashwant K. Panwar, Bijendra Singh, V. K. Gupta   +2 more
doaj   +2 more sources