Characterizations of arithmetical progression series with some counterexamples on interpolation (Q1407481)
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scientific article; zbMATH DE number 1982154
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterizations of arithmetical progression series with some counterexamples on interpolation |
scientific article; zbMATH DE number 1982154 |
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Characterizations of arithmetical progression series with some counterexamples on interpolation (English)
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2003
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The author provides characterizations for the functions \(z(1-z)^{-2}\) and \((1+z)(1-z)^{-2}\) similar to the characterization of \((1-z)^{-\alpha-1}\) given by \textit{F. F. Abi-Khuzam} in [Complex Var., Theory Appl. 20, 229--236 (1992; Zbl 0785.30003)]. Moreover, he claims to solve two problems posed in this paper. The counterexamples he gives are, however, not appropriate.
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uniqueness of series
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characterization of series
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