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Further results on the euler and Genocchi numbers

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Summary

We characterize the ordinary generating functions of the Genocchi and median Genocchi numbers as unique solutions of some functional equations and give a direct algebraic proof of several continued fraction expansions for these functions. New relations between these numbers are also obtained.

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Authors and Affiliations

  1. Département de Mathématiques, Université Louis-Pasteur, 7, rue René Descartes, 67000, Strasbourg Cedex, France

    Dominique Dumont & Jiang Zeng

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  1. Dominique Dumont
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  2. Jiang Zeng
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Dumont, D., Zeng, J. Further results on the euler and Genocchi numbers. Aeq. Math. 47, 31–42 (1994). https://doi.org/10.1007/BF01838137

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  • DOI: https://doi.org/10.1007/BF01838137

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