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Based on an extensive redshift survey for galaxy cluster Abell 2029 and Coma,we measure the luminosity functions (LFs), stellar mass functions (SMFs) forthe entire cluster member galaxies. Most importantly, we measure the velocitydispersion functions (VDFs) for quiescent members. The MMT/Hectospec redshiftsurvey for galaxies in A2029 identifies 982 spectroscopic members; for 838members we derive the central velocity dispersion from the spectroscopy. Comais the only other cluster surveyed as densely. The LFs, SMFs and VDFs for A2029and Coma are essentially identical. The SMFs of the clusters are consistentwith simulations. The A2029 and Coma VDFs for quiescent galaxies have asignificantly steeper slope than those of field galaxies for velocitydispersion $\lesssim 100$ km s$^{-1}$. The cluster VDFs also exceed the fieldat velocity dispersion $\gtrsim 250$ km s$^{-1}$. The differences betweencluster and field VDFs are potentially important tests of simulations and ofthe formation of structure in the universe.

The Velocity Dispersion Function of Very Massive Galaxy Clusters: Abell 2029 and Coma