20 citations · 111 across the 24 of their papers we have counts for
26 papers
On certain properties of perturbed Freud-type weight: a revisit
Abey S. Kelil, Appanah R. Appadu, Sama Arjika
In this paper, monic polynomials orthogonal with deformation of the Freud-type weight function are considered. These polynomials fullfill linear differential equation with some pol…
Connection formulae for trivariate -polynomials
Sama Arjika, Zouhaïr Mouayn
In this short paper, we establish connection formulae for trivariate -polynomials.
Generalized q-difference equations for general q-polynomials with double q-binomial coefficients
Jian Cao, Sama Arjika, Mahouton Norbert Hounkonnou
In this paper, we use the generalized q-polynomials with double q-binomial coefficients and homogeneous q-operators [J. Difference Equ. Appl. 20 (2014), 837--851.] to construct q-d…
A General Family of -Hypergeometric Polynomials and Associated Generating Functions
Hari Mohan Srivastava, Sama Arjika
In this paper, we introduce a general family of -hypergeometric polynomials and investigate several -series identities such as an extended generating function and a Srivastav…
-difference equation for generalized trivariate -Hahn polynomials
Sama Arjika, Mahaman Kabir Mahaman
In this paper, we introduce a family of trivariate -Hahn polynomials as a general form of Hahn polynomials and $F_n(x,y…
Certain generating functions for Cigler's polynomials
Sama Arjika
In this paper, we use the homogeneous -operators [J. Difference Equ. Appl. {\bf20 } (2014), 837--851.] to derive Rogers formulas, extended Rogers formulas and Srivastava-Agarwal…
A note on fractional Askey--Wilson integrals
Jian Cao, Sama Arjika
In this paper, we generalize fractional -integrals by the method of -difference equation. In addition, we deduce fractional Askey--Wilson integral, reversal type fractional A…
A note on generalized -difference equations for general Al-Salam--Carlitz polynomials
Jian Cao, Binbin Xu, Sama Arjika
In this paper, we deduce the generalized -difference equations for general Al-Salam--Carlitz polynomials and generalize Arjika's recently results [-difference equation for ho…
A Note on Generalized -Difference Equations and Their Applications Involving -Hypergeometric Functions
Hari Mohan Srivastava, Jian Cao, Sama Arjika
In this paper, we use two -operators and to derive two potentially useful generalizations of the -binomial theorem,…
Generating Functions for Some Families of the Generalized Al-Salam-Carlitz -Polynomials
Hari Mohan Srivastava, Sama Arjika
In this paper, by making use of the familiar -difference operators and , we first introduce two homogeneous -difference operators $\mathbb{T}({\bf a},{\bf b…
-difference equations for homogeneous -difference operators and their applications
Sama Arjika
In this short paper, we show how to deduce several types of generating functions from Srivastava {\it et al} [Appl. Set-Valued Anal. Optim. {\bf 1} (2019), pp. 187-201.] by the met…
On -trigonometric functions and their -Fourier transform
Sama Arjika
In this paper, we first construct generalized -cosine, -sine and -exponential functions. We then use -exponential function in order to define and investigate a…
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…
Some homogeneous -difference operators and the associated generalized Hahn polynomials
Hari M. Srivastava, Sama Arjika, Abey Sherif Kelil
In this paper, we first construct the homogeneous -shift operator and the homogeneous -difference operator . We then ap…
Summation formula for generalized discrete -Hermite II polynomials
Sama Arjika
In this paper, we provide a family of generalized discrete -Hermite II polynomials denoted by . An explicit relations connecting them with the -Laguer…
Connection formulae for new q-deformed Laguerre-Gould-Hopper polynomials
Sama Arjika, Zouhair Mouayn
We introduce new families of q-deformed 2D Laguerre-Gould-Hopper polynomials. For these polynomials we establish connection formulae which extend some known ones.
Even and odd generalized hypergeometric coherent states
Won Sang Chung, Mahouton Norbert Hounkonnou, Sama Arjika
In this paper, we investigate a large class of generalized hypergeometric states , depending on a complex variable and two sets of parameters, …
New families of q and (q;p)-Hermite polynomials
Mahouton Norbert Hounkonnou, Sama Arjika, Won Sang Chung
In this paper, we construct a new family of q-Hermite polynomials denoted by Hn(x,s|q). Main properties and relations are established and proved. In addition, is deduced a sequence…
Generalized q-deformed Tamm-Dancoff oscillator algebra and associated coherent states
Won Sang Chung, Mahouton Norbert Hounkonnou, Sama Arjika
In this paper, we propose a full characterization of a generalized deformed Tamm-Dancoff oscillator algebra and investigate its main mathematical and physical properties. Speci…
Three types of polynomials related to q-oscillator algebra
Won Sang Chung, Mahouton Norbert Hounkonnou, Sama Arjika
This work addresses a full characterization of three new q-polynomials derived from the oscillator algebra. Related matrix elements and generating functions are deduced. Furthe…
Pöschl-Teller Hamiltonian: Gazeau-Klauder type coherent states, related statistics and geometry
Mahouton Norbert Hounkonnou, Sama Arjika, Ezinvi Baloïtcha
This work mainly addresses a construction of Gazeau-Klauder type coherent states for a Pöschl-Teller model. Relevant characteristics are investigated. Induced geometry and statisti…
deformed Fibonacci and Lucas polynomials: characterization and Fourier integral transforms
Mahouton Norbert Hounkonnou, Sama Arjika
A full characterization of -deformed Fibonacci and Lucas polynomials is given. These polynomials obey non-conventional three-term recursion relations. Their generating funct…
deformed Heisenberg algebra: representations, special functions and quantization
Mahouton Norbert Hounkonnou, Sama Arjika, Ezinvi Baloïtcha
This paper addresses a new characterization of Sudarshan's diagonal representation of the density matrix elements , derivedfrom deformed boson coherent states.Th…
Higher order SUSY-QM for Pöschl-Teller potentials: coherent states and operator properties
Mahouton Norbert Hounkonnou, Sama Arjika, Ezinvi Baloitcha
This work prolongs recent investigations by Bergeron et al [see 2012 J. Phys. A: Math. Theo. 45 244028] on new SUSYQM coherent states for Pöschl-Teller potentials. It mainly addres…