S. Arjika

activity

20122022

q

-difference operators and the associated generalized Hahn polynomials

20 citations · 111 across the 24 of their papers we have counts for

collaborators

Showing 2019 · math-phShow all

3 papers · 2 filters

math-ph2019★ 1 cited

On $q^{2}$ -trigonometric functions and their $q^{2}$ -Fourier transform

Sama Arjika

In this paper, we first construct generalized $q^{2}$ -cosine, $q^{2}$ -sine and $q^{2}$ -exponential functions. We then use $q^{2}$ -exponential function in order to define and investigate a…

math-ph2019★ 5 cited

Quantum statistical properties of multiphoton hypergeometric coherent states and the discrete circle representation

Sama Arjika, Manuel Calixto, Julio Guerrero

We review the definition of hypergeometric coherent states, discussing some representative examples. Then we study mathematical and statistical properties of hypergeometric Schrödi…

math-ph2019

Summation formula for generalized discrete $q$ -Hermite II polynomials

Sama Arjika

In this paper, we provide a family of generalized discrete $q$ -Hermite II polynomials denoted by $h ~_{n, α} (x, y ∣ q)$ . An explicit relations connecting them with the $q$ -Laguer…

On q2-trigonometric functions and their q2-Fourier transform

Quantum statistical properties of multiphoton hypergeometric coherent states and the discrete circle representation

Summation formula for generalized discrete q-Hermite II polynomials

On $q^{2}$ -trigonometric functions and their $q^{2}$ -Fourier transform

Summation formula for generalized discrete $q$ -Hermite II polynomials