Cover Image

Generalization of Gaussian third-order Jacobsthal numbers and their new families

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Morales, Gamaliel
Format:	Preprint
Published:	2025
Subjects:	General Mathematics Primary: 11B37, Secondary: 11B39, 65Q30
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On Generalized Bihyperbolic Third-order Jacobsthal Polynomials
by: Cerda-Morales, Gamaliel
Published: (2024)

On higher order Horadam 3-parameter generalized quaternions
by: Morales, Gamaliel
Published: (2025)

Unrestricted modified third-order Jacobsthal quaternions
by: Morales, Gamaliel
Published: (2024)

On the Sum of the Sixth Powers of Fibonacci Numbers
by: Adegoke, Kunle, et al.
Published: (2024)

Compositional Square Roots of $\exp(x)$ and $1+x^2$
by: Finch, Steven
Published: (2025)

Fractional Iterates and Oscillatory Convergence
by: Finch, Steven
Published: (2025)

Convolutions of second order sequences: A direct approach
by: Adegoke, Kunle, et al.
Published: (2024)

Deformed Newton's $(s,t)$-Binomial Series and Generating Functions of Generalized Central Binomial Coefficients and Generalized Catalan Numbers
by: López, Ronald Orozco
Published: (2023)

Three new classes of binomial Fibonacci sums
by: Frontczak, Robert
Published: (2023)

Weighted sums of Lucas numbers of the first and second kind
by: Mbirika, aBa
Published: (2025)

A study of a family of self-referential sequences
by: Cloitre, Benoit
Published: (2025)

Periodic minimum in the count of binomial coefficients not divisible by a prime
by: Hwang, Hsien-Kuei, et al.
Published: (2024)

On the number of residues of certain second-order linear recurrences
by: Accossato, Federico, et al.
Published: (2024)

Repdigits as difference of two balancing or Lucas-balancing numbers
by: Mohapatra, Monalisa, et al.
Published: (2024)

Fibonacci-harmonic sums
by: Adegoke, Kunle, et al.
Published: (2025)

Integration Formulas Involving Fibonacci and Lucas Numbers
by: Adegoke, Kunle, et al.
Published: (2024)

Some Diophantine Equations involving associated Pell numbers and repdigits
by: Mohapatra, Monalisa, et al.
Published: (2024)

General convolution sums involving Fibonacci m-step numbers
by: Frontczak, Robert, et al.
Published: (2024)

Exercises in Iterational Asymptotics IV
by: Finch, Steven
Published: (2025)

$n$-defective Lehmer pairs for small $n$: Corrections and Clarifications
by: Voutier, Paul M.
Published: (2024)

On some Properties of Generalized Tribonacci Spinors
by: Cerda-Morales, Gamaliel
Published: (2024)

Half-Iterates and Delta Conjectures
by: Finch, Steven
Published: (2025)

Third-order Jacobsthal $3$-Parameter Generalized Quaternions
by: Morales, Gamaliel
Published: (2025)

Uniform Bounds for Digit-Appending Fibonacci Walks
by: Kominers, Scott Duke
Published: (2025)

Valuation Separation for Coprime Lucas Products
by: Kym, Dongyeon
Published: (2026)

Introduction to generalized Leonardo-Alwyn hybrid numbers
by: Cerda-Morales, Gamaliel
Published: (2024)

Approximation measures for shifted logarithms of algebraic numbers via effective Poincare-Perron
by: Hirata-Kohno, Noriko, et al.
Published: (2024)

Iteration Sums of The Euler Totient Function Regarding Powers of Fermat Primes
by: Li, Xiang, et al.
Published: (2025)

On a Family of Nested Recurrences and Their Arithmetical Solutions
by: Cloitre, Benoit
Published: (2025)

Bicomplex Third-order Jacobsthal Quaternions
by: Cerda, Gamaliel
Published: (2018)

Functional Equations for Generalized Collatz Dynamics Using Integral Representations and Residue Calculus
by: Efrem, Christos N.
Published: (2025)

Generalized Lucas Theorem
by: Hirsh, Jordan
Published: (2025)

Connections between two classes of generalized Fibonacci numbers squared and permanents of (0,1) Toeplitz matrices
by: Allen, Michael A., et al.
Published: (2021)

Some new infinite families of non-$p$-rational real quadratic fields
by: McConnell, Gary
Published: (2024)

Deterministic Structures in the Stopping Time Dynamics of the 3x+1 Problem
by: Winkler, Mike
Published: (2017)

Positive characteristic analogues of finite algebraic numbers
by: Matsuzuki, Daichi, et al.
Published: (2026)

A $2$-Regular Sequence That Counts The Divisors of $n^2 + 1$
by: Shakov, Anton
Published: (2025)

Small Primitive Normal Elements in Finite Fields
by: Carella, N. A.
Published: (2025)

On the eigenvectors of the 5D discrete Fourier transform number operator in Newtonian basis
by: Atakishiyev, Natig
Published: (2024)

Exercises in Iterational Asymptotics III
by: Finch, Steven
Published: (2025)