For the first time, we derive explicit closed-form expressions for moments of some beta generalized distributions including the beta gamma, beta normal, beta beta, beta Student t and beta F distributions. These expressions are given as infinite weighted sums of well-known special functions for which numerical routines for computation are available.
"Closed-form expressions for moments of a class of beta generalized distributions." Braz. J. Probab. Stat. 25 (1) 14 - 33, March 2011. https://doi.org/10.1214/09-BJPS109