betaln(X,Y) returns the logarithm of the Beta function for arguments X and Y'.

If X or Y is an rtable, table, set, or list, the result is an The betaln(X, Y) function computes the elementwise betaln of X and Y.

$\mathrm{with}\left(\mathrm{MTM}\right)\:$

$X≔⟨⟨8.129865\,2.276977\,9.614502⟩\left|⟨9.241619\,8.202524\,9.735335⟩\right|⟨4.795851\,5.368380\,2.418517⟩⟩$

$X≔\left[\begin{array}{ccc}8.129865& 9.241619& 4.795851\\ 2.276977& 8.202524& 5.368380\\ 9.614502& 9.735335& 2.418517\end{array}\right]$

$Y≔⟨⟨4.530043\,7.108616\,1.321405⟩\left|⟨7.688192\,9.405939\,6.901666⟩\right|⟨7.819661\,8.642163\,9.635431⟩⟩$

$Y≔\left[\begin{array}{ccc}4.530043& 7.688192& 7.819661\\ 7.108616& 9.405939& 8.642163\\ 1.321405& 6.901666& 9.635431\end{array}\right]$

$\mathrm{betaln}\left(X\,Y\right)$

$\left[\begin{array}{ccc}\mathrm{-7.84919701}& \mathrm{-11.44678140}& \mathrm{-7.98286203}\\ \mathrm{-4.514540924}& \mathrm{-11.96958645}& \mathrm{-8.98587338}\\ \mathrm{-3.12371263}& \mathrm{-11.05278463}& \mathrm{-5.41718555}\end{array}\right]$

The MTM[betaln] command was introduced in Maple 2021.

For more information on Maple 2021 changes, see Updates in Maple 2021.