Generalized poly-Cauchy polynomials and their interpolating functions (Q2875413)
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scientific article; zbMATH DE number 6330468
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized poly-Cauchy polynomials and their interpolating functions |
scientific article; zbMATH DE number 6330468 |
Statements
Generalized poly-Cauchy polynomials and their interpolating functions (English)
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14 August 2014
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poly-Cauchy numbers
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poly-Cauchy polynomials
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poly-Bernoulli numbers
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Stirling numbers
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Arakawa-Kaneko zeta function
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interpolating functions
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The poly-Cauchy polynomial of the first kind is defined as \(\int_0^1\cdots \int_0^1 (x_1x_2\cdots x_k+z)_n\, dx_1\cdots dx_k\), where the integral of the \(n\)th falling factorial is \(k\)-fold. The paper studies arithmetic, analytic and combinatorial properties poly-Cauchy polynomials and their further generalizations.
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