182 citations · 240 across the 4 of their papers we have counts for
4 papers
Finite bivariate biorthogonal I -- Konhauser polynomials
Esra Güldoğan Lekesiz, Bayram Çekim, Mehmet Ali Özarslan
In this paper, a finite set of biorthogonal polynomials in two variables is produced using Konhauser polynomials. Some properties containing operational and integral representation…
Fractional Calculus Operator Emerging from the 2D Biorthogonal Hermite Konhauser Polynomials
Mehmet Ali Ozarslan, İlkay Onbasi Elidemir
In the present paper, we introduce a method to construct two variable biorthogonal polynomial families with the help of one variable biorthogonal and orthogonal polynomial families…
A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators
Arran Fernandez, Cemaliye Kürt, Mehmet Ali Özarslan
We define an analogue of the classical Mittag-Leffler function which is applied to two variables, and establish its basic properties. Using a corresponding single-variable function…
On fractional calculus with general analytic kernels
Arran Fernandez, Mehmet Ali Ozarslan, Dumitru Baleanu
Many possible definitions have been proposed for fractional derivatives and integrals, starting from the classical Riemann-Liouville formula and its generalisations and modifying i…