Results 61 to 70 of about 103 (98)

On Diophantine equations involving Lucas sequences

Open Mathematics, 2019
In this paper, we shall study the Diophantine equation un = R(m)P(m)Q(m), where un is a Lucas sequence and R, P and Q are polynomials (under weak assumptions).
Trojovský Pavel
doaj   +1 more source

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

On a New One Parameter Generalization of Pell Numbers

Annales Mathematicae Silesianae, 2019
In this paper we present a new one parameter generalization of the classical Pell numbers. We investigate the generalized Binet’s formula, the generating function and some identities for r-Pell numbers.
Bród Dorota
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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

More on finite sums that involve reciprocals of products of generalized Fibonacci numbers, Integers 14 (2014), #A4. Available at http://www.integers-ejcnt.org/vol14.html. 2010 Mathematics Subject Classification: Primary 11B39; Secondary 11B37. Keywords: r

, 2020
In this paper we find closed forms for certain finite sums. In each case the denominator of the summand consists of products of generalized Fibonacci numbers.
R S Melham
core  

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 prime powers in linear recurrence sequences. [PDF]

Ann Math Quebec, 2023
Odjoumani J, Ziegler V.
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