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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Hans-Jürgen Glaeske, K. Stallknecht, Eine Verallgemeinerung der Lambert-Transformation I. Z. Anal. Anwend. 3 (1984), no. 2, pp. 111–118DOI 10.4171/ZAA/94