A composite K-band Luminosity Function for Cluster Galaxies

We present a composite K-band luminosity function for 10 clusters at low redshift, where member galaxies are identified from an existing spectroscopic survey (the 2dF galaxy redshift survey). Our kinematically selected K-band luminosity function is well fitted by a Schechter function with $M^*_K=-24.50 + 5\log h$ and $α=-0.98$ over $-27 < <M_K -5\log h < -22$. This is very similar to the 2dF field value and suggests that the integrated mass accretion history of galaxies does not vary strongly with environment

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