【摘 要】
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The n-divided difference of the composite function h := f o g of functions f, g at a group of nodes t0, t1,… , tn is shown by the combinations of divided diffe
【机 构】
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Department of Mathematics, Zhejiang University, Hangzhou 310028, China;Computer Science School, Zhej
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The n-divided difference of the composite function h := f o g of functions f, g at a group of nodes t0, t1,… , tn is shown by the combinations of divided differences of f at the group of nodes g(t0),g(t1),… ,g(tm) and divided differences of g at several partial group of nodes t0, t1,… , tn, where m = 1, 2,… , n. Especially, when the given group of nodes are equal to each other completely, it will lead to Faà di Bruno’s formula of higher derivatives of function h.
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