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A Newton Interpolation Approach to Generalized Stirling Numbers
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-20
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
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 numbers including the recurrence relation, explicit expression, and generating function.
The generalizations of the well-known Dobinski's formula are further investigated.
American Psychological Association (APA)
Xu, Aimin. 2012. A Newton Interpolation Approach to Generalized Stirling Numbers. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993173
Modern Language Association (MLA)
Xu, Aimin. A Newton Interpolation Approach to Generalized Stirling Numbers. Journal of Applied Mathematics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-993173
American Medical Association (AMA)
Xu, Aimin. A Newton Interpolation Approach to Generalized Stirling Numbers. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993173
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993173