ON COMPLETE MONOTONICITY OF THREE PARAMETER MITTAG-LEFFLER FUNCTION

Using the Bernstein theorem we prove the complete monotonicity of the three parameter Mittag—Leer function E α , β γ ( − ω ) for w ≥ 0 and suitably constrained parameters α, β and γ.

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Bibliographic Details
Published inApplicable analysis and discrete mathematics Vol. 15; no. 1; pp. 118 - 128
Main Authors Górska, Katarzyna, Horzela, Andrzej, Lattanzi, Ambra, Pogány, Tibor K.
Format Journal Article
LanguageEnglish
Published University of Belgrade, Serbia 01.04.2021
Online AccessGet full text
ISSN1452-8630
2406-100X
2406-100X
DOI10.2298/AADM190226025G

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Summary:Using the Bernstein theorem we prove the complete monotonicity of the three parameter Mittag—Leer function E α , β γ ( − ω ) for w ≥ 0 and suitably constrained parameters α, β and γ.
ISSN:1452-8630
2406-100X
2406-100X
DOI:10.2298/AADM190226025G