On the application of Mittag-Leffler functions to hyperbolic-type decay of luminescence

In 1861, Becquerel analyzed the time-resolved luminescence and formulated an empirical hyperbolic-type decay function, which was later named the Becquerel decay law. Since then, studies on hyperbolic decay of luminescence have been carried on in different physical contexts. In this paper we generalize the Becquerel decay law by using a Mittag-Leffler function with a logarithmic argument, and discuss its physical interpretation in light of recently published results.