Some possible q-generalizations of harmonic numbers
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harmonicnumbersfunctionfunctionsgeneratingsomeanaloguesapplications
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We study three different $q$-analogues of the harmonic numbers. As applications, we present some generating functions involving number theoretical functions and give the $q$-generalization of Gosper's exponential generating function of harmonic numbers. We involve also the $q$-gamma and $q$-digamma function.
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