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On alternating power sums of arithmetic progressions

Bazsó, András (2013) On alternating power sums of arithmetic progressions. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 24 (12). pp. 945-949. ISSN 1065-2469

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Abstract

Depending on the parity of the positive integer n, the alternating power sum Tk a;b (n) = bk-(a + b)k+(2a + b)k-: : :+(-1)n-1 (a (n - 1) + b)k : can be extended to a polynomial in two ways, say as Tk+ a;b(x) and Tk- a;b(x). In this note we classify all the possible decompositions of these polynomials.

Item Type: Article
Uncontrolled Keywords: Euler polynomials, decomposition.
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 07 Feb 2014 08:58
Last Modified: 07 Feb 2015 00:15
URI: http://real.mtak.hu/id/eprint/10151

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