Multiplication formulas for Apostol-type polynomials and multiple alternating sums

Mathematical Notes（2012）

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摘要

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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关键词

Apostol-type polynomials,Apostol-Bernoulli numbers and polynomials,Apostol-Euler numbers and polynomials,Apostol-Genocchi numbers and polynomials,multinomial identity,generalized multinomial identity,recursive formula,Raabe's multiplication formula,alternating sum,lambda-multiple alternating sum

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