ON THE MULTI-INDEX MITTAG-LEFFLER FUNCTIONS AND THEIR MELLIN TRANSFORMS
Jordanka Paneva-Konovska, Virginia Kiryakova
Abstract
In this survey paper we consider the classes of the multi-index Mittag-Leffler functions, introduced and studied by the authors as extensions of the classical Mittag-Leffler functions E , and of the Prabhakar function E , , by means of replacing the 2 parameters , , respectively the 3 parameters , , , by 2m-, resp. 3m-sets of parameters, m = 1, 2, 3, ...:
Topics & Concepts
Mellin transformMellin inversion theoremIndex (typography)MathematicsApplied mathematicsComputer scienceMathematical analysisLaplace transformFourier transformFractional Fourier transformFourier analysisWorld Wide WebFractional Differential Equations SolutionsStatistical Mechanics and EntropyImage and Signal Denoising Methods