A look at generalized degenerate Bernoulli and Euler matrices

J Hernández, D Peralta, Y Quintana - Mathematics, 2023 - mdpi.com
In this paper, we consider the generalized degenerate Bernoulli/Euler polynomial matrices
and study some algebraic properties for them. In particular, we focus our attention on some …

[PDF][PDF] New -Bernoulli, -Euler and -Genocchi polynomials and their matrices

W Ramírez, D Bedoya, A Urieles, C Cesarano… - Carpathian …, 2023 - ncp.pu.if.ua
In this paper, we introduce the $ U $-Bernoulli, $ U $-Euler, and $ U $-Genocchi
polynomials, their numbers, and their relationship with the Riemann zeta function. We also …

New biparametric families of Apostol-Frobenius-Euler polynomials of level m

D Bedoya - 2020 - repositorio.uniatlantico.edu.co
We introduce two biparametric families of Apostol-Frobenius-Euler polynomials of level m.
We give some algebraic properties, as well as some other identities which connect these …

[PDF][PDF] Properties and applications of Bell polynomials of two variables

M Zayed, SA Wani, W Ramirez, FF Gandara - J. Math. Comput. Sci, 2024 - academia.edu
In this article, we introduce Bell polynomials of two variables within the framework of
generating functions and explore various properties associated with them. Specifically, we …

New results on the q-generalized Bernoulli polynomials of level m

A Urieles, MJ Ortega, W Ramírez… - Demonstratio …, 2019 - degruyter.com
This paper aims to show new algebraic properties from the q-generalized Bernoulli
polynomials B n [m-1](x; q) of level m, as well as some others identities which connect this …

[PDF][PDF] Generalized mixed type Bernoulli-Gegenbauer polynomial

Y Quintana - Kragujevac Journal of Mathematics, 2023 - imi.pmf.kg.ac.rs
2 are special polynomials obtained by use of the generating function method. These
polynomials represent an interesting mixture between two classes of special functions …

A matrix approach to generalized Bernoulli–Fibonacci polynomials of order m and applications

W Ramírez, A Urieles, E Forero, MJ Ortega… - Bollettino dell'Unione …, 2024 - Springer
We know that the matrices provide a flexible framework to study combinatorial structures. In
fact, the generalized Fibonacci matrices allow us to develop the applications to coding …

A new extension of generalized Pascal-type matrix and their representations via Riordan matrix

W Ramírez, A Urieles, M Riyasat, MJ Ortega… - Boletín de la Sociedad …, 2024 - Springer
The algebraic approach based on Pascal matrices is important in many fields of
mathematics, ranging from algebraic geometry to optimization, matrix theory and …

A Note on Generalized Degenerate q-Bernoulli and q-Euler Matrices

J Hernández, Y Quintana… - … Research Notes on …, 2024 - drna.padovauniversitypress.it
In this paper, we explore the concepts of generalized degenerate q-Bernoulli and q-Euler
polynomial matrices, elucidating their fundamental properties. Our primary focus is on …

About family Apostol Fubini-Euler type polynomials: Fourier expansions and integral representation

A Urieles, W Ramirez, D Bedoya… - THE JOURNAL …, 2024 - iris.uninettunouniversity.net
This paper introduces new families of Fubini-Euler type and Apostol Fubini-Euler type
polynomials, providing expressions, recurrence relations, and identities. We also derive …