We build a framework for R (p, q)-deformed calculus, which provides a method of
computation for deformed R (p, q)-derivative and integration, generalizing known deformed …

We perform generalizations of Witt and Virasoro algebras, and derive the corresponding
Korteweg–de Vries equations from known ℛ (p, q)-deformed quantum algebras previously …

In this paper, we construct the super Witt algebra and super Virasoro algebra in the
framework of the ℛ (p, q)-deformed quantum algebras. Moreover, we perform the super ℛ (p …

The Heisenberg algebra is first deformed with the set of parameters {q, l, λ} to generate a
new family of generalized coherent states. The matrix elements of relevant operators are …

In this paper, we define and discuss $\mathcal {R}(p, q) $-deformations of basic univariate
discrete distributions of the probability theory. We mainly focus on binomial, Euler, P\'olya …

We construct a new class of nonlinear coherent states for the isotonic oscillator by replacing
the factorial of the coefficients zn/n! of the canonical coherent states by the factorial xn γ!= x 1 …

In this work, we address the $ p $-adic analogues of the fermion spin Lie algebras and Lie
groups. We consider the extension of the fermion spin Lie groups and Lie algebras to the $ p …

This paper addresses an R (p, q)-deformed conformal Virasoro algebra with an arbitrary
conformal dimension Δ. Well-known deformations constructed in the literature are deduced …

This paper addresses a new characterization of $({\mathcal R}, p, q) $-deformed Rogers–
Szegö polynomials by providing their three-term recurrence relation and the associated …

This work mainly addresses a construction of Gazeau-Klauder type coherent states (CSs) for
a Pöschl-Teller model. Relevant characteristics are investigated. Induced geometry and …