On complete monotonicity of three parameter Mittag-Leffler function

DOI10.2298/AADM190226025GzbMath1499.33078arXiv1811.10441OpenAlexW2901117020WikidataQ116677387 ScholiaQ116677387MaRDI QIDQ5028842

Katarzyna Górska, Tibor K. Pogány, Andrzej Horzela, Ambra Lattanzi

Publication date: 10 February 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.10441

zbMATH Keywords

Bernstein theoremMittag-Leffler functionscomplete monotonicity

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Monotonic functions, generalizations (26A48) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

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The Havriliak–Negami and Jurlewicz–Weron–Stanislavsky relaxation models revisited: memory functions based study ⋮ Integral representations of the multi-parameter Hurwitz-Lerch zeta function and applications ⋮ Volterra-Prabhakar function of distributed order and some applications ⋮ Non-Debye relaxations: the characteristic exponent in the excess wings model ⋮ Non-Debye relaxations: smeared time evolution, memory effects, and the Laplace exponents ⋮ Analytical solutions for fractional partial delay differential-algebraic equations with Dirichlet boundary conditions defined on a finite domain ⋮ Stochastic solutions of generalized time-fractional evolution equations

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