Abstract
The integral representation for Isgur–Wise function (IWF) is obtained in the framework of instant-form relativistic Hamiltonian dynamics for mesons with one heavy quark. The upper and lower limits are calculated for the slope parameter of IWF ρ 2 by the model independent way. IWF is calculated for different wave functions of quarks in the meson. The difference between the limits of ρ 2 equals 1/3. The constraint on the slope parameter is in a good agreement with experiments. The weak dependence of IWF on the choice of wave functions is found.
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