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20122022
most citedA General Family of -Hypergeometric Polynomials and Associated Generating Functions

18 citations · 81 across the 12 of their papers we have counts for

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6 papers · 1 filter

math.CA202210 cited

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…

math.CA2021

-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…

math.CA20212 cited

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…

math.CA20209 cited

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…

math.CA20208 cited

-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…

math.CA2019

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…