  The observed $D^{**}$ mesons have $c\bar q$ flavor quantum numbers and
spin-parity of the light degrees of freedom $s_\ell^{\pi_{\ell}} = 3/2^+$. In
the $m_c \rightarrow \infty$ limit the spin of the charm quark is conserved and
the $c \rightarrow D^{**}$ fragmentation process is characterized by the
probability for the charm quark to fragment to a $D^{**}$ meson with a given
helicity for the light degrees of freedom. We consider the calculated $b
\rightarrow B_c^{**}$ fragmentation functions in the limit $m_c/m_b \rightarrow
0$ as a qualitative model for the $c \rightarrow D^{**}$ fragmentation
functions. We find that in this model charm quark fragmentation to
$s_\ell^{\pi_{\ell}} = 3/2^+$ light degrees of freedom with helicities $\pm
1/2$ is favored over fragmentation to $s_\ell^{\pi_{\ell}} = 3/2^+$ light
degrees of freedom with helicities $\pm 3/2$.
