Some Transformations of Hausdorff Moment Sequences and Harmonic Numbers

Christian Berg, Antonio J. Durán

Source record

Source: Crossref

Published: Oct 1, 2005

DOI: 10.4153/cjm-2005-036-8

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Source abstract

Abstract We introduce some non-linear transformations from the set of Hausdorff moment sequences into itself; among them is the one defined by the formula: . We give some examples of Hausdorff moment sequences arising from the transformations and provide the corresponding measures: one of these sequences is the reciprocal of the harmonic numbers .

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