Results 41 to 50 of about 62 (62)

On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers

Annales Mathematicae Silesianae, 2019
The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their properties.
Szynal-Liana Anetta, Włoch Iwona
doaj   +1 more source

Two types of hypergeometric degenerate Cauchy numbers

Open Mathematics, 2020
In 1985, Howard introduced degenerate Cauchy polynomials together with degenerate Bernoulli polynomials. His degenerate Bernoulli polynomials have been studied by many authors, but his degenerate Cauchy polynomials have been forgotten.
Komatsu Takao
doaj   +1 more source

On the growth of multi-recurrences. [PDF]

Arch Math, 2022
Fuchs C, Heintze S.
europepmc   +1 more source

On a New Generalization of Pell Hybrid Numbers

Annales Mathematicae Silesianae
In this paper, we define and study a new one-parameter generalization of the Pell hybrid numbers. Based on the definition of r-Pell numbers, we define the r-Pell hybrid numbers.
Bród Dorota, Szynal-Liana Anetta, Włoch Iwona   +2 more
doaj   +1 more source

Diophantine equations in separated variables and polynomial power sums. [PDF]

Mon Hefte Math, 2021
Fuchs C, Heintze S.
europepmc   +1 more source

On Matrices with Bidimensional Fibonacci Numbers

Annales Mathematicae Silesianae
In this paper, the bidimensional extensions of the Fibonacci numbers are explored, along with a detailed examination of their properties, characteristics, and some identities.
Costa Eudes Antonio, Catarino Paula M.M.C.   +1 more
doaj   +1 more source

On prime powers in linear recurrence sequences. [PDF]

Ann Math Quebec, 2023
Odjoumani J, Ziegler V.
europepmc   +1 more source

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

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

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

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