Ronald Orozco L'opez

activity

20212026

d

-Polytopic Numbers Defined on Generalized Fibonacci Polynomials

1 citations · 1 across the 19 of their papers we have counts for

collaborators

Showing 2024Show all

6 papers · 1 filter

math.CO2024

A Note on the Rogers-Szegö Polynomial $q$ -Differential Operators

Ronald Orozco López

In this paper, we introduce the Rogers-Szegö deformed $q$ -differential operators g $_{n} (b D_{q} ∣ u)$ based on $q$ -differential operator $D_{q}$ . The motivation for introducing the op…

math.CO2024

On the Heine Binomial Operators

Ronald Orozco López

In this paper, we introduce the Heine binomial operators H $_{n} (b D_{q})$ based on $q$ -differential operator $D_{q}$ . The motivation for introducing the operators H $_{n} (b D_{q})$ is…

math.CO2024

Deformed Homogeneous Polynomials and the Generalized $q$ -Exponential Operator

Ronald Orozco López

In this paper, we introduce the deformed homogeneous polynomials $R_{n} (x, y; u ∣ q)$ . These polynomials generalize some classical polynomials: the Rogers-Szegö polynomials $\…

math.CO2024

Generalizing the Index of the $u$ -Deformed Homogeneous Polynomials and Generating Functions for $R_{- n} (x, y; q ∣ u)$

Ronald Orozco López

This paper introduces the $u$ -deformed homogeneous functions $R_{α} (x, y; u ∣ q)$ , for all $α \in C$ . Basic properties of the functions $R_{α} (x, y; u ∣ q)$ are given,…

math.NT2024

Irrationality of the Deformed Euler Numbers $e_{s, t, u}$

Ronald Orozco López

In this paper, we define the deformed Euler $(s, t)$ -numbers $e_{s, t, u}$ Furthermore, we prove that $e_{a s, a^{2} t, u^{- 1}}$ and $e_{a s, a^{2} t, u^{- 1}}^{- 1}$ are irration…

math.CA2024

First Order Linear Proportional Difference Equation with Integration Factor the $(s, t)$ -Pantograph Function

Ronald Orozco López

In this paper, we find solutions to first-order linear proportional difference equations via the $(s, t)$ -integration factor method. The $(s, t)$ -integration factor involves the $(s,…

A Note on the Rogers-Szegö Polynomial q-Differential Operators

On the Heine Binomial Operators

Deformed Homogeneous Polynomials and the Generalized q-Exponential Operator

Generalizing the Index of the u-Deformed Homogeneous Polynomials and Generating Functions for R−n​(x,y;q∣u)

Irrationality of the Deformed Euler Numbers es,t,u​

First Order Linear Proportional Difference Equation with Integration Factor the (s,t)-Pantograph Function

A Note on the Rogers-Szegö Polynomial $q$ -Differential Operators

Deformed Homogeneous Polynomials and the Generalized $q$ -Exponential Operator

Generalizing the Index of the $u$ -Deformed Homogeneous Polynomials and Generating Functions for $R_{- n} (x, y; q ∣ u)$

Irrationality of the Deformed Euler Numbers $e_{s, t, u}$

First Order Linear Proportional Difference Equation with Integration Factor the $(s, t)$ -Pantograph Function