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
Department of Mathematics
Jiaozuo University
Jiaozuo City, Henan Province, 454003


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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