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Let $D=k[x_1,\ldots, x_n, \partial_1, \ldots, \partial_n]$ be the Weyl algebra with $k$ a field of characteristic zero. Given a holonomic D-module $M$ we know that its holonomic dual $M^{'}=\text{Ext}_D^n(M, D)$ it is also holonomic. Also we now both modules being holonomic have a well defined b-function.

My question: is there any relation relation between the b-functions of $M$ and $M^{'}$?

Thanks in advance!

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