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Incomplete Poly-Bernoulli Numbers and Incomplete Poly-Cauchy Numbers Associated to the q-Hurwitz–Lerch Zeta Function

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Abstract

In this paper we introduce a q-analogue of the incomplete poly-Bernoulli numbers and incomplete poly-Cauchy numbers by using the q-Hurwitz–Lerch zeta Function. Then we study several combinatorial properties of these new sequences. Moreover, we give some relations between the q-Hurwitz type incomplete poly-Bernoulli numbers, the q-Hurwitz type incomplete poly-Cauchy numbers and the incomplete Stirling numbers of both kinds.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China

    Takao Komatsu

  2. Departamento de Matemáticas, Universidad Nacional de Colombia, Bogotá, Colombia

    José L. Ramírez

Authors
  1. Takao Komatsu
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  2. José L. Ramírez
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Correspondence to José L. Ramírez.

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Komatsu, T., Ramírez, J.L. Incomplete Poly-Bernoulli Numbers and Incomplete Poly-Cauchy Numbers Associated to the q-Hurwitz–Lerch Zeta Function. Mediterr. J. Math. 14, 133 (2017). https://doi.org/10.1007/s00009-017-0935-5

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  • DOI: https://doi.org/10.1007/s00009-017-0935-5

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