On an iteration leading to a q-analogue of the Digamma function
Abstract
We show that the q-Digamma function psiq for 0<q<1 appears in an iteration studied by Berg and Dur\'an. In addition we determine the probability measure q with moments 1/Σk=1n+1 (1-q)/(1-qk), which are q-analogues of the reciprocals of the harmonic numbers.
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