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math.CA2020
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…
math.CA2020
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…