5 papers
Homogeneous Linear Calculus of Order 1 and a -Taylor Formula
Ronald Orozco López
In this paper, a new calculus on sequences is defined. Also, the -derivative and the -integration are investigated. The fundamental theorem of -calculus is included. A sui…
Deformed Bivariate -Appell Polynomials
Ronald Orozco López
In this paper, we introduce bivariate polynomial sets of deformed -Appell type, and we study the algebraic properties of these sets. We show the relation between deformed bivari…
Interesting Deformed -Series Involving The Central Fibonomial Coefficient
Ronald Orozco López
In this paper, we will obtain a variety of interesting -series containing central -binomial coefficients. Our approach is based on manipulating deformed basic hypergeometric…
A Note on the Rogers-Szegö Polynomial -Differential Operators
Ronald Orozco López
In this paper, we introduce the Rogers-Szegö deformed -differential operators g based on -differential operator . The motivation for introducing the op…
Irrationality of the Deformed Euler Numbers
Ronald Orozco López
In this paper, we define the deformed Euler -numbers Furthermore, we prove that and are irration…