On complete monotonicity of three parameter Mittag-Leffler function
K. Górska, A. Horzela, Ambra Lattanzi, Tibor K. Pogány
Abstract
Using the Bernstein theorem we prove the complete monotonicity of the three parameter Mittag?Leffler function E??,? (?w) for w ? 0 and suitably constrained parameters ?, ? and ?.
Topics & Concepts
Monotonic functionMathematicsFunction (biology)Applied mathematicsMittag-Leffler functionPure mathematicsDiscrete mathematicsMathematical analysisFractional calculusEvolutionary biologyBiologyMathematical Inequalities and ApplicationsMatrix Theory and AlgorithmsAdvanced Optimization Algorithms Research