In this paper, we apply a general family of basic (or q-) polynomials with double q-binomial
coefficients as well as some homogeneous q-operators in order to construct several q …

Based on the extensive application of the qq‐series and qq‐polynomials including (for
example) the qq‐Laguerre polynomials in several fields of the mathematical and physical …

In this paper, we use the homogeneous $ q $-operators [J. Difference Equ.
Appl.{\bf20}(2014), 837--851.] to derive Rogers formulas, extended Rogers formulas and …

The concept of q-deformation has been expanded in a variety of situations including q-
deformed nonlinear maps. Coupled q-deformed logistic maps with positive and negative q …

The study of $\psi-$ hyperholomorphic functions defined on domains in $\mathbb R^ 4$ with
values in $\mathbb H $, namely null-solutions of the $\psi-$ Fueter operator, is a topic which …

Viewing from polynomials solutions of q-difference equations makes certain generating
functions calculated easily. In this short paper, we build the relations between Cigler's …

By using noncommutative q-analogue of binomial theorem, we construct new q-exponential
operators for q-Laguerre polynomials and deduce expansions of q-exponential equations …

In this paper, we define two homogenous q-Laguerre polynomials, by introducing a modified
q-differential operator, we prove that an analytic function can be expanded in terms of the q …

The purpose of this paper is to combine the (q, q′)\left (q, q &# x0005E; ′\right)‐
calculus in the quaternionic context, which is proposed via two kinds of (q, q′)\left (q, q …

The symmetric q-analysis is used to construct a type of minimum-uncertainty q-coherent
states in the Fock representation space of the symmetric q-oscillator∗-algebra with 0< q< 1 …