Given a flux density f, measured in ergs per second per square centimeter per hertz, the corresponding AB magnitude is defined as:

The AB magnitude system is defined such that for any bandpass or filter being considered, the magnitude zero-point corresponds to a flux density of 3631 Jy
(1 Jy = 1 Jansky = 10−26 W Hz−1 m−2 = 10−23 erg s−1 Hz−1 cm−2) [1]
For fluxes in units of [erg/s/cm2/A] the AB magnitude is given by [2]

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