Kilbas, A. A.; Koroleva, A. A. An extended generalized function Mittag-Leffler type. (English) Zbl 1178.33024 Dokl. Nats. Akad. Nauk Belarusi 49, No. 5, 5-10 (2005). Summary: The special function represented by the Mellin-Barnes integral and generalizing the four-parameter function of Mittag-Leffler type is introduced. For this function the authors prove existence conditions, establish series expansions, and obtain asymptotic estimates near zero and at infinity. Cited in 3 Documents MSC: 33E12 Mittag-Leffler functions and generalizations 26B40 Representation and superposition of functions PDFBibTeX XMLCite \textit{A. A. Kilbas} and \textit{A. A. Koroleva}, Dokl. Nats. Akad. Nauk Belarusi 49, No. 5, 5--10 (2005; Zbl 1178.33024)