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ABSTRACT We have studied the weak decay constants and the Isgur-Wise form factor of the B and D mesons in the heavy quark limit, by employing a relativistic quark confinement model. It is an attempt to improve our previous work within the same line of thinking, but by incorporating a couple of novel aspects. First, the infrared behavior of the heavy quark is considered by modifying its conventional propagator in terms of a single parameter \nu. Second, the mass difference of the heavy meson and heavy quark: E=m_H-M_Q has been included. It is found that the weak decay constants depend strongly on the mass difference E with a relatively mild \nu dependence. As for the Isgur-Wise function it is controlled more sensitively by the infrared parameter \nu, leading to its suppression at maximum meson recoil

Heavy quark limit in the model with confined light quarks and infrared heavy quark propagators