The authors study the generalized Mittag-Leffler type function with
for , , , and the particular case of these functions for . This functions were introduced by A. A. Kilbas and M. Saigo [Differ. Integral Equ. 8, No. 5, 993-1011 (1995; Zbl 0823.45002)]. The authors show that is an entire function and they find the order and type and some recurrence formulae for such a function. For the particular case connections with hypergeometric functions are discussed and differentiation properties are proved.