On Higher Order Angular Derivatives — an Application of Faà Di Bruno’s Formula
نویسنده
چکیده
We study the singular behavior of kth angular derivatives of analytic functions in the unit disk in the complex plane C and positive harmonic functions in the unit ball in R. Faà di Bruno’s formula is a crucial tool in our proofs.
منابع مشابه
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متن کاملJ an 2 00 6 Combinatorics of Partial Derivatives
The natural forms of the Leibniz rule for the kth derivative of a product and of Faà di Bruno’s formula for the kth derivative of a composition involve the differential operator ∂/∂x1 · · · ∂xk rather than d /dx, with no assumptions about whether the variables x1, . . . , xk are all distinct, or all identical, or partitioned into several distinguishable classes of indistinguishable variables. C...
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تاریخ انتشار 2007