Journal of Integer Sequences, Vol. 12 (2009), Article 09.1.4

Fourier Expansions and Integral Representations for Genocchi Polynomials


Qiu-Ming Luo
Department of Mathematics
East China Normal University
Dongchuan Road 500
Shanghai City, 200241
China
and
Department of Mathematics
Jiaozuo University
Jiaozuo City, Henan Province, 454003
China

Abstract:

In this paper, by using the Lipschitz summation formula, we obtain Fourier expansions and integral representations for the Genocchi polynomials. Some other new and interesting results are also shown.


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(Concerned with sequence A001469.)

Received June 24 2008; revised versions received August 29 2008; October 4 2008. Published in Journal of Integer Sequences, December 14 2008.


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