On the complete monotonicity of the three parameter generalized Mittag-Leffler function $E_{\alpha ,\beta }^{\gamma }(-x)$

Abstract

Using the Bernstein theorem we give a simple proof of the complete monotonicity of the three parameter generalized Mittag-Leffler function $E_{\alpha ,\beta }^{\gamma }(-x)$ for $x\ge 0$ and suitably adjusted parameters $\alpha$, $\beta$ and $\gamma$

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Cited by in corpus (9)

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• Non-Debye relaxations: The ups and downs of the stretched exponential vs Mittag-Leffler's matchings
• Volterra-Prabhakar derivative of distributed order and some applications
• Phase transitions of composition schemes: Mittag-Leffler and mixed Poisson distributions
• On the application of Mittag-Leffler functions to hyperbolic-type decay of luminescence
• Non-Debye relaxations: The characteristic exponent in the excess wings model
• Heterogeneous Cattaneo-Vernotte equation connection to the noisy voter model