This is an extension of the simple Arrhenius equation in which the pre-exponential factor is proportional to T n where T is the temperature and n a constant: \[k = B\ T^{n}\ \exp(-E_{\text{a}}/RT)\] B is a temperature-independent constant.
Source:
PAC, 1996, 68, 149. 'A glossary of terms used in chemical kinetics, including reaction dynamics (IUPAC Recommendations 1996)' on page 174 (https://doi.org/10.1351/pac199668010149)