Results 41 to 50 of about 60 (60)

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
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 prime powers in linear recurrence sequences. [PDF]

Ann Math Quebec, 2023
Odjoumani J, Ziegler V.
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

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

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

An introduction to finite fibonomial calculus

Open Mathematics, 2004
Krot Ewa
doaj   +1 more source