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The Mittag-Leffler function

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arxiv 2005.13330 v4 pith:GQQJRSEY submitted 2020-05-27 math.FA math.PR

classification math.FAmath.PR
keywords functionmittag-lefflerhalfleftmannerpropertiesresultsreview
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abstract

We review the function theoretical properties of the Mittag-Leffler function $E_{a,b}\left( z\right) $ in a self-contained manner, but also add new results; more than half is new!

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the distributed resistor-constant phase element transmission line in a reflective bounded domain

    cond-mat.mtrl-sci 2024-11 conditional novelty 4.0 of 10

    A finite-length R-CPE transmission line is solved exactly, yielding the anomalous finite-length Warburg impedance s^{-alpha/2} coth(s^{alpha/2}) plus its step response and relaxation-time distribution.

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