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Hurwitz-Lerch Type Multi-Poly-Cauchy Numbers

Author

Listed:
  • Noel Lacpao

    (Department of Mathematics, College of Arts and Sciences, Bukidnon State University, Malaybalay City 8700, Philippines)

  • Roberto Corcino

    (Research Institute for Computational Mathematics and Physics, Cebu Normal University, Cebu City 6000, Philippines)

  • Mary Ann Ritzell Vega

    (Department of Mathematics and Statistics, Mindanao State University-Iligan Institute of Technology, Iligan City 9200, Philippines)

Abstract

In this paper, we define Hurwitz–Lerch multi-poly-Cauchy numbers using the multiple polylogarithm factorial function. Furthermore, we establish properties of these types of numbers and obtain two different forms of the explicit formula using Stirling numbers of the first kind.

Suggested Citation

  • Noel Lacpao & Roberto Corcino & Mary Ann Ritzell Vega, 2019. "Hurwitz-Lerch Type Multi-Poly-Cauchy Numbers," Mathematics, MDPI, vol. 7(4), pages 1-11, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:335-:d:220707
    as

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    References listed on IDEAS

    as
    1. Takao Komatsu & Vichian Laohakosol & Kálmán Liptai, 2013. "A Generalization of Poly-Cauchy Numbers and Their Properties," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, December.
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