Results 71 to 80 of about 98 (97)

In Search of the Truly Marvelous Proof [PDF]

: Fermat's Last Theorem (FLT), proposed in 1637 by Pierre de Fermat, states that no positive integers a,b, and c satisfy the equation a^n+b^n=c^n for any integer n>2.
Charles Kusniec
core  

Generalized Commutative Mersenne and Mersenne–Lucas Quaternion Polynomials

Annales Mathematicae Silesianae
Generalized commutative quaternions generalize elliptic, parabolic and hyperbolic quaternions, bicomplex numbers, complex hyperbolic numbers and hyperbolic complex numbers. In this paper, we use the Mersenne numbers and polynomials in the theory of these
Bród Dorota, Szynal-Liana Anetta, Liana Mirosław   +2 more
doaj   +1 more source

Proving Fermat’s Last Theorem Using Partial Differences of Powers and the Binomial Theorem [PDF]

: Fermat's Last Theorem (FLT), proposed in 1637 by Pierre de Fermat, states that no positive integers a, b, and c satisfy the equation a^n + b^n = c^n for any integer n > 2.
Charles Kusniec
core  

On Powers, Roots and Moore–Penrose Inverses of Matrices Via Generalized Fibonacci Numbers

Annales Mathematicae Silesianae
The purpose of this work is to introduce some new results about the relations between powers, roots and Moore–Penrose inverses of square matrices satisfying a cubic matrix equation and the generalized Fibonacci numbers.
Karakaya Sinan, Özdemir Halim, Özban Ahmet Yaşar   +2 more
doaj   +1 more source

Asymptotic Analysis of <i>q</i>-Recursive Sequences. [PDF]

Algorithmica, 2022
Heuberger C, Krenn D, Lipnik GF.
europepmc   +1 more source

Generalized Horadam Polynomials and Numbers

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
We consider the polynomials hn,m(x) (m ≥ 2) and the numbers hn,m (x = 1), which are the generalized Horadam polynomials and the generalized Horadam numbers, respectively. We also consider the polynomials h(s)n,m(x)- convolutions of the polynomials hn,m(x)
Djordjevic Snezana S., Djordjevic Gospava B.   +1 more
doaj   +1 more source

The telephone polynomials: An Appell-type orthogonal polynomials connecting Hermite–Laguerre polynomials

Nuclear Physics B
This article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
doaj   +1 more source

3-Parameter Generalized Quaternions and Dual Quaternions with Repunit Number Components

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, our first aim is to combine the 3-parameter generalized quaternions, which are a general form of the quaternion algebra according to 3-parameters, and repunit numbers, which are created by integer numbers that are expressed in the decimal ...
Kösal Işıl Arda, Tosun Murat
doaj   +1 more source

Alternating sums of reciprocal generalized Fibonacci numbers. [PDF]

Springerplus, 2014
Kuhapatanakul K.
europepmc   +1 more source

Two explicit formulas for the generalized Motzkin numbers. [PDF]

J Inequal Appl, 2017
Zhao JL, Qi F.
europepmc   +1 more source