7 citations · 13 across the 6 of their papers we have counts for
10 papers
Monomial and Rodrigues orthogonal polynomials on the cone
Rabia Aktas, Amilcar Branquinho, Ana Foulquie-Moreno +1
We study two families of orthogonal polynomials with respect to the weight function , , on the cone $\{(x,t): \|x\| \le t, \, x \in \ma…
Fourier transforms of some special functions in terms of orthogonal polynomials on the simplex and continuous Hahn polynomials
Esra Güldoğan-Lekesiz, Rabia Aktaş, Iván Area
In this paper Fourier transform of multivariate orthogonal polynomials on the simplex is presented. A new family of multivariate orthogonal functions is obtained by using the Parse…
On some formulas for the -analogue of Appell functions and generating relations via -fractional derivative
Övgü Gürel Yılmaz, Rabia Aktaş, Fatma Taşdelen
Our present investigation is mainly based on the -hypergeometric functions which are constructed by making use of the Pochhammer -symbol \cite{Diaz} which are one of the vita…
A new family of orthogonal polynomials in three variables
Rabia Aktaş, Iván Area, Esra Güldoğan
In this paper we introduce a six-parameter generalization of the four-parameter three-variable polynomials on the simplex and we investigate the properties of these polynomials. Sp…
Dunkl-Gamma Type Operators including Appell Polynomials
Fatma Tasdelen, Dilek Soylemez, Rabia Aktas
The aim of the present paper is to introduce Dunkl-Gamma type operators in terms of Appell polynomials and to investigate approximating properties of these operators.
A Dunkl-Gamma Type Operator in Terms of Two-Variable Hermite Polynomials
Bayram Çekim, Rabia Aktaş, Fatma Taşdelen
The goal of this paper is to present a Dunkl-Gamma type operator with the help of two-variable Hermite polynomials and to derive its approximating properties via the classical modu…
A Dunkl Analogue of Operators Including Two-variable Hermite polynomials
Rabia Aktaş, Bayram Çekim, Fatma Taşdelen
The aim of this paper is to introduce a Dunkl generalization of the operators including two variable Hermite polynomials which are defined by Krech [14](Krech, G. A note on some po…
A new family of analytic functions defined by means of Rodrigues type formula
Rabia Aktas, Abdullah Altin, Fatma Tasdelen
In this article, a class of analytic functions is investigated and their some properties are established. Several recurrence relations and various classes of bilinear and bilateral…
Representations for the parameter derivatives of some Koornwinder polynomials
Rabia Aktas
In 1975, Koornwinder gave a method to construct orthogonal polynomials in two variables using the classical Jacobi polynomials. In [5], the authors introduced some new examples of…
Sobolev orthogonal polynomials on a simplex
Rabia Aktas, Yuan Xu
The Jacobi polynomials on the simplex are orthogonal polynomials with respect to the weight function $W_\bg(x) = x_1^{\g_1} ... x_d^{\g_d} (1- |x|)^{\g_{d+1}}$ when all $\g_i > -1$…