Abstract
If \(E_{\alpha,\beta}(x)\) is the generalized Mittag-Leffler function, then the complete monotonicity of \(E_{\alpha,\beta}(-x)\) for \(0\le\alpha\le1\), \(\beta\ge\alpha\) is an immediate corollary of a 1948 result due to Pollard. The proof can be accomplished within the framework of real analysis.
Citation
Kenneth S. Miller. "A Note on the Complete Monotonicity of the Generalized Mittag-Leffler Function." Real Anal. Exchange 23 (2) 753 - 756, 1997/1998.
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