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arxiv: 1804.00654 · v2 · pith:MJRRK5PGnew · submitted 2018-04-01 · 🧮 math.CO

Explicit Formulae of Cauchy Polynomials with a q Parameter in Terms of r-Whitney Numbers

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keywords cauchyparameterpolynomialsexplicitformulaenumberspropertiesseveral
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The Cauchy polynomials with a $q$ parameter were recently defined, and several arithmetical properties were studied. In this paper, we establish explicit formulae for computing the Cauchy polynomials with a $q$ parameter in terms of $r$-Whitney numbers of the first kind. We also obtain several properties and combinatorial identities.

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