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Some properties and distribution of the zeros of the \(q\)-sigmoid polynomials - MaRDI portal

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Some properties and distribution of the zeros of the \(q\)-sigmoid polynomials (Q782093)

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scientific article; zbMATH DE number 7224146
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English
Some properties and distribution of the zeros of the \(q\)-sigmoid polynomials
scientific article; zbMATH DE number 7224146

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    Some properties and distribution of the zeros of the \(q\)-sigmoid polynomials (English)
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    22 July 2020
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    Summary: The sigmoid polynomials combining \(q\)-numbers and various properties of their polynomials are thoroughly presented in this paper. Based on several properties of \(q\)-numbers, we derive some identities of \(q\)-sigmoid polynomials. Also, from explicit polynomials, we can observe structures of the zeros of the sigmoid polynomials which are related to \(q\)-numbers.
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    \(q\)-sigmoid polynomials
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    \(q\)-numbers
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