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arxiv: 1710.01522 · v1 · pith:3QBXOBTHnew · submitted 2017-10-04 · 🧮 math.CV · math.CA

q-difference equations concerning with q-gamma function

classification 🧮 math.CV math.CA
keywords differenceequationriccatisolutionsconcerningfunctiongammaconsider
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We consider a family of solutions of $q-$difference Riccati equation, and prove the meromorphic solutions of $q-$difference Riccati equation and corresponding second order $q-$difference equation are concerning with $q-$gamma function. The growth and value distribution of differences on solutions of $q-$difference Riccati equation are also investigated.

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