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A unified approach to a class of stirling-type pairs

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Abstract

Here presented is a unified approach to a wide class of symmetric Stirling number pairs, which is determined by four complex parameters and includes as particular cases various previous extensions of Stirling numbers due to Carlitz, Howard, Koutras, Gould-Hopper, respectively. Certain Schlömilch-type formulas and congruence properties will be also exhibited.

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Authors and Affiliations

  1. Institute of Mathematical Sciences, Dalian University of Technology, 116024, Dalian

    Xu Lizhi, L. C. Hsu & Yu Hongquan

Authors
  1. Xu Lizhi
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  2. L. C. Hsu
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  3. Yu Hongquan
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Supported by the National Natural Science Foundation of China.

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Lizhi, X., Hsu, L.C. & Hongquan, Y. A unified approach to a class of stirling-type pairs. Appl. Math. Chin. Univ. 12, 225–232 (1997). https://doi.org/10.1007/s11766-997-0023-x

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  • DOI: https://doi.org/10.1007/s11766-997-0023-x

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