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Two new q-exponential operator identities and their applications
Authors:Zeya Jia
Affiliation:Department of Mathematics, East China Normal University, 500 Dongchuan Road, Shanghai 200241, PR China
Abstract:In this paper, we use the q-Chu–Vandermonde formula to prove two new operator identities, which are the extensions of Liu's results. These two q-exponential operator identities are used to derive some q-summation formulas and q-integrals.
Keywords:q-series   q-derivative   q-integral
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