Hurwitz-Lerch Type Multi-Poly-Cauchy Numbers

Noel Lacpao, Roberto Corcino and Mary Ann Ritzell Vega
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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

Mathematics, 2019, vol. 7, issue 4, 1-11

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.

Keywords: multiple polylogarithm functions; poly-Cauchy numbers of the first and second kind; Hurwitz–Lerch factorial zeta function; generating function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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