On p-Cauchy numbers

In this paper we define a new family of p-Cauchy numbers by means of the confluent hypergeometric function. We establish some basic properties. As consequence, a number of algorithms based on three-term recurrence relation for computing Cauchy numbers of both kinds, Bernoulli numbers of the second k...

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Bibliographic Details
Published in:Filomat 2016, Vol.30 (10), p.2731-2742
Main Author: Rahmani, Mourad
Format: Article
Language:English
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Summary:In this paper we define a new family of p-Cauchy numbers by means of the confluent hypergeometric function. We establish some basic properties. As consequence, a number of algorithms based on three-term recurrence relation for computing Cauchy numbers of both kinds, Bernoulli numbers of the second kind are derived. nema
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1610731R