A Newton Interpolation Approach to Generalized Stirling Numbers

We employ the generalized factorials to define a Stirling-type pair {s(n,k;α,β,r),S(n,k;α,β,r)} which unifies various Stirling-type numbers investigated by previous authors. We make use of the Newton interpolation and divided differences to obtain some basic properties of the generalized Stirling nu...

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Bibliographic Details
Main Author: Aimin Xu
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/351935