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We consider a family of solutions of $q-$difference Riccati equation, andprove the meromorphic solutions of $q-$difference Riccati equation andcorresponding second order $q-$difference equation are concerning with$q-$gamma function. The growth and value distribution of differences onsolutions of $q-$difference Riccati equation are also investigated.

$q-$difference equations concerning with $q-$gamma function