34 citations · 64 across the 3 of their papers we have counts for
3 papers
math.CA2022★ 10 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.CA2019★ 20 cited
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…
math.CA2015★ 34 cited
A Generalized Freud Weight
Peter A. Clarkson, Kerstin Jordaan, Abey Kelil
We discuss the relationship between the recurrence coefficients of orthogonal polynomials with respect to a generalized Freud weight \[w(x;t)=|x|^{2λ+1}\exp\left(-x^4+tx^2\right),\…