The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on March 31, 2015 at 14:00 in Room 478 of IMI.

A talk on:

Families of Mittag-LefflerType Functions and Convergent Series in Them

will be delivered by Jordanka Paneva-Konovska.

Everybody is invited.

Abstract. Series defined by means of the Mittag-Leffler type functions are considered, namely, Mittag-Leffler functions and their Prabhakar and multi-index generalizations. Their domains of convergence are found and the behaviour of such series on the boundaries of these domains is studed. Analogues of the classical theorems for the power series like Cauchy-Hadamard, Abel, Tauber and Littlewood as well as Fatou type theorems are proposed.