  A holonomic D-module on a complex analytic manifoldadmits always a b-function
along any submanifold. If the module is regular, itadmits also a regular
b-function, that is a b-function with a condition on the order of the lower
terms of the equation.There is a weaker condition of regularity: regularity
alonga submanifold. We prove that a module which is regular alonga submanifold
admits a regular b-function along this submanifold.
