  A general study of relations between the parameters of two
centrally-symmetric Levy distributions, often used for one-dimensional
investigation of Bose - Einstein correlations, is given for the first time.
These relations of the strength of correlations and of the radius of the
emission region take into account possible various finite ranges of the Lorentz
invariant four-momentum difference for two centrally-symmetric Levy
distributions. In particular, special cases of the relations are investigated
for Cauchy and normal (Gaussian) distributions. The mathematical formalism is
verified using the recent measurements given a generalized centrally-symmetric
Levy distribution is used. The reasonable agreement is observed between
estimations and experimental results for all available types of strong
interaction processes and collision energies.
