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Table 1.

Overview of different IGIMF formulations.

Model α1 & α2 Reference α3 Reference β Reference
IGIMF-2003 Fixed Kroupa (2001) Fixed Kroupa (2001) Fixed Larsen (2002)
IGIMF-2011 Fixed Kroupa (2001) Varies Weidner et al. (2011) Varies Weidner et al. (2011)
IGIMF-2017 Fixed Kroupa (2001) Varies Marks et al. (2012) Varies Weidner et al. (2013c)
IGIMF-2018 0.5 ⋅ [Fe/H] Kroupa (2002) Varies Marks et al. (2012) Varies Weidner et al. (2013c)
IGIMF-2020 35 ⋅ (Z − 0.02) Yan et al. (2020) Varies Marks et al. (2012) Varies Weidner et al. (2013c)
IGIMF-2021 63 ⋅ (Z − 0.0142) Yan et al. (2021) Varies Marks et al. (2012) Varies Weidner et al. (2013c)
IGIMF-2024 80 ⋅ (Z − 0.0113) Yan et al. (2024) Varies Marks et al. (2012) Varies Weidner et al. (2013c)

Notes. Variation of the power-law indices of the stellar IMF (Eqs. (1), (4), and (5)) applied in different models, including IGIMF-2003 from Kroupa & Weidner (2003), IGIMF-2011 from Weidner et al. (2011), IGIMF-2017 from Yan et al. (2017), IGIMF-2018 from Jeřábková et al. (2018), IGIMF-2020 from Yan et al. (2020), and IGIMF-2021 from Yan et al. (2021).

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