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Differential Equations Associated with Degenerate Cauchy Numbers

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Abstract

In this paper, we introduce the degenerate Cauchy numbers as a degenerate version of the Cauchy numbers and derive a family of nonlinear differential equations satisfied by the generating function for those numbers.

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Acknowledgements

The authors would like to thank the referees for their valuable comments which improved this paper greatly in its present form.

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Authors and Affiliations

  1. Department of Mathematics, Kwangwoon University, Seoul, 139-701, South Korea

    Taekyun Kim & Gwan-Woo Jang

  2. Department of Mathematics, Sogang University, Seoul, 121-742, South Korea

    Dae San Kim

Authors
  1. Taekyun Kim
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  2. Dae San Kim
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  3. Gwan-Woo Jang
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Correspondence to Taekyun Kim.

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Kim, T., Kim, D.S. & Jang, GW. Differential Equations Associated with Degenerate Cauchy Numbers. Iran J Sci Technol Trans Sci 43, 1021–1025 (2019). https://doi.org/10.1007/s40995-018-0531-y

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  • DOI: https://doi.org/10.1007/s40995-018-0531-y

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