Geodesic
Some Transformations of Hausdorff Moment Sequences and Harmonic Numbers
Canadian journal of mathematics, Tome 57 (2005) no. 5, pp. 941-960

Voir la notice de l'article provenant de la source Cambridge University Press

We introduce some non-linear transformations from the set of Hausdorff moment sequences into itself; among them is the one defined by the formula: $T\left( {{\left( {{a}_{n}} \right)}_{n}} \right)\,=\,1/\left( {{a}_{0}}\,+\cdots +\,{{a}_{n}} \right).$ 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 ${{\left( 1+1/2\,+\cdots +\,1/\left( n+1 \right) \right)}^{-1}}.$
DOI : 10.4153/CJM-2005-036-8
Mots-clés : Primary: 44A60, secondary: 40B05 
Berg, Christian; Durán, Antonio J. Some Transformations of Hausdorff Moment Sequences and Harmonic Numbers. Canadian journal of mathematics, Tome 57 (2005) no. 5, pp. 941-960. doi: 10.4153/CJM-2005-036-8
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