A Newton Interpolation Approach to Generalized Stirling Numbers
نویسندگان
چکیده
منابع مشابه
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 numbers including the recurrence relation, explicit expression, and generating function. The g...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2012
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2012/351935