4 papers · 1 filter
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…
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…