Summary.
A functional equation arising from the independence properties of some transformations of independent generalized inverse Gaussian and gamma variables is completely solved under the local integrability assumption.
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Received: March 3, 2000, revised version: May 30, 2000.
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Wesolowski, J. On a functional equation related to the Matsumoto—Yor property. Aequ. math. 63, 245–250 (2002). https://doi.org/10.1007/s00010-002-8022-8
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DOI: https://doi.org/10.1007/s00010-002-8022-8