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Zeitschrift für Analysis und ihre Anwendungen

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Volume 3, Issue 2, 1984, pp. 111–118
DOI: 10.4171/ZAA/94

Published online: 1984-04-30

Eine Verallgemeinerung der Lambert-Transformation I

Hans-Jürgen Glaeske[1] and K. Stallknecht[2]

(1) Friedrich-Schiller-Universität Jena, Germany
(2) Friedrich-Schiller-Universität Jena, Germany

In this paper a generalized Lambert-transformation is investigated, which includes all the well known Lambert-series and Lambert-transformations as special cases. We prove a convergence theorem and by suitable choice of the kernel of the transformation the results are specialized to the well known cases.

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Glaeske Hans-Jürgen, Stallknecht K.: Eine Verallgemeinerung der Lambert-Transformation I. Z. Anal. Anwend. 3 (1984), 111-118. doi: 10.4171/ZAA/94