The Curious History of Faà di Bruno's Formula
نویسنده
چکیده
where the sum is over all different solutions in nonnegative integers b1, . . . , bm of b1 + 2b2 + · · · + mbm = m, and k := b1 + · · · + bm. For example, when m = 3 this instructs us to look at all solutions in nonnegative integers of the equation b1 + 2b2 + 3b3 = 3. We can have b3 = 1, b1 = 0 = b2, in which case k = 1 and we get the term 3! 0! 0! 1! ′ ( f (t)) ( f ′′′(t) 3! ) = g′ ( f (t)) f ′′′(t).
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ورودعنوان ژورنال:
- The American Mathematical Monthly
دوره 109 شماره
صفحات -
تاریخ انتشار 2002