1 citations · 1 across the 19 of their papers we have counts for
8 papers · 1 filter
A -Exponential Operator Based on the Derivative of Order 1 and Summation of Bilateral Basic Hypergeometric Series
Ronald Orozco López
We use a new -exponential operator based on the -derivative $\D_{q^{\pm1}}$ of order 1 to derive summation formulas for bilateral basic hypergeometric series ${}_{0}ψ_…
A Resolvent Approach to Generalized Lambert Series and -Series Identities
Ronald Orozco López
We introduce a partial-theta-type \(q\)-operator and show that it admits the resolvent representati…
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…
Rogers-Ramanujan Type -Exponential Operator and Stieljes-Widgert Polynomials
Ronald Orozco López
In this paper, we use the Rogers-Ramanujan type -exponential operator to derive generating functions, and Mehler and Rogers formulas, for the non-normalize…
New -identities Via -Derivative of Basic Hypergeometric Series with Respect to Parameters
Ronald Orozco López
In this paper, we use the effect of the -differential and deformed -exponential operators on basic hypergeometric series to find new -identities from the -Gauss sum, th…
Simplicial -Polytopic Numbers Defined on Generalized Fibonacci Polynomials
Ronald Orozco López
In this article, we introduce the simplicial -polytopic numbers defined on generalized Fibonacci polynomials. We establish basic identities and find -identities known. Furthe…