A transformation from Hausdorff to Stieltjes moment sequences
نویسندگان
چکیده
We introduce a non-linear injective transformation T from the set of non-vanishing normalized Hausdorff moment sequences to the set of normalized Stieltjes moment sequences by the formula T [(an)]n = 1/(a1 · . . . · an). Special cases of this transformation have appeared in various papers on exponential functionals of Lévy processes, partly motivated by mathematical finance. We give several examples of moment sequences arising from the transformation and provide the corresponding measures, some of which are related to q-series. 2000 Mathematics Subject Classification: primary 44A60; secondary 33D65.
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