Abstract
We investigate multiplication formulas for Apostol-type polynomials and introduce λ-multiple alternating sums, which are evaluated by Apostol-type polynomials. We derive some explicit recursive formulas and deduce some interesting special cases that involve the classical Raabe formulas and some earlier results of Carlitz and Howard.
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Published in Russian in Matematicheskie Zametki, 2012, Vol. 91, No. 1, pp. 54–66.
The text was submitted by the author in English.
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Luo, QM. Multiplication formulas for Apostol-type polynomials and multiple alternating sums. Math Notes 91, 46–57 (2012). https://doi.org/10.1134/S0001434612010051
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DOI: https://doi.org/10.1134/S0001434612010051