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[[Image:Synchrotron Functions.svg|thumb|First and second Synchrotron functions.]]
In [[mathematics]] the '''synchrotron functions''' are defined as follows (for ''x'' ≥ 0):<ref>{{Cite journal |last=Fouka |first=M. |last2=Ouichaoui |first2=S. |date=2013-01-29 |title=Analytical Fits to the Synchrotron Functions |url=https://arxiv.org/abs/1301.6908v1 |language=en |doi=10.1088/1674-4527/13/6/007}}</ref>
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