Results 91 to 100 of about 1,029,498 (122)

Extended Generalized Fibonacci and Tribonacci Polynomials with some Properties

Sarajevo Journal of Mathematics
In this paper, we introduced the extended generalized Fibonacci polynomial sequence \{$Y_{2,n}$\} and extended generalized Tribonacci polynomial \{$Y_{3,n}$\} with arbitrary initial values and established a recursive matrix and then presented some ...
Vaishali Billore, Naresh Patel, Hemant Makwana   +2 more
semanticscholar   +1 more source

Floor and ceiling functions for Pell numbers

Notes on Number Theory and Discrete Mathematics
The analytical study of the Pell number and the role of floor and ceiling functions into their computation is examined. Closed expressions of Pell numbers were initially derived using Binet's formula, followed by an asymptotic behavior study of the ...
İsmail Sulan, Mustafa Aşçı
semanticscholar   +1 more source

Leonardo Numbers and their Bicomplex Extension

Nepal Journal of Mathematical Sciences
This paper introduces a new type of Leonardo numbers, referred to as bicomplex Leonardoi numbers. Also, some important relations, including the generating function, Binet's formula, D'Ocagne's identity, Cassini’s identity, and Catalan’s identity ...
Molhu Prasad Jaiswal, N. Pahari, Purushottam Parajuli   +2 more
semanticscholar   +1 more source

A New Polar Representation and Identities for Split Leonardo Quaternions

Mathematical methods in the applied sciences
In this study, we define split Leonardo quaternion sequences with components involving Leonardo numbers. We give fundamental properties and identities associated with split Leonardo quaternions, such as Binet's formula, as well as identities attributed ...
Ali Atasoy
semanticscholar   +1 more source

A Study On Gaussian Generalized Edouard Numbers

Asian Journal of Advanced Research and Reports
This paper examines the properties and applications of Gaussian Generalized Edouard numbers, aiming to enrich the theoretical framework of number sequences. Utilizing analytical and algebraic techniques, we derive novel recurrence relations, sum formulas,
Emine Esra Ayrılma, Y. Soykan
semanticscholar   +1 more source

The k-Periodic Fibonacci Sequence and an Extended Binet's Formula

Integers, 2011
Marcia Edson, Scott Lewis, Omer Yayenie
semanticscholar   +1 more source

A new member of the Pell sequences: the pseudo-Pell sequence

Studia Universitatis Babeş-Bolyai. Mathematica
In this study, we define a new family of the Pell numbers and establish some properties of the relation to the ordinary Pell numbers. We give some identities the pseudo-Pell numbers.
Hasan Gökbaş
semanticscholar   +1 more source

A New Generalization of Fibonacci Sequence & Extended Binet's Formula

, 2009
Marcia Edson, Omer Yayenie
semanticscholar   +1 more source

Binet's formula for generalized tribonacci numbers

, 2015
J. Cereceda
semanticscholar   +1 more source

An Elementary Proof of Binet's Formula for the Gamma Function

, 1999
Z. Sasvári
semanticscholar   +1 more source