Cauchy's estimate
bound for the coefficients of the Taylor series of holomorphic functions
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Summary
Key Facts
- Augustin-Louis Cauchy is named after Cauchy's estimate[1].
- Cauchy's estimate's depicts is recorded as holomorphic function[2].
- Cauchy's estimate's subclass of is recorded as inequality[3].
- Cauchy's estimate's has cause is recorded as Cauchy's integral formula[4].
- Cauchy's estimate's different from is recorded as Cauchy–Schwarz inequality[5].
- Cauchy's estimate's defining formula is recorded as \forall a\in\mathbb C\forall r>0\forall f\in\mathcal H(\bar B(a,r),\mathbb C)\forall n\in\mathbb N\colon|f^{(n)}(a)|\le\frac{n!}{r^n}\sup_{z\in\partial B(a,r)}|f(z)|[6].
- Cauchy's estimate's studied by is recorded as complex analysis[7].
- Cauchy's estimate's Google Knowledge Graph ID is recorded as /g/1219y4nq[8].
- Cauchy's estimate's maintained by WikiProject is recorded as WikiProject Mathematics[9].
- Cauchy's estimate's in defining formula is recorded as \mathbb C[10].
- Cauchy's estimate's in defining formula is recorded as \mathcal H(-,-)[11].
- Cauchy's estimate's in defining formula is recorded as \bar B(-,-)[12].
- Cauchy's estimate's in defining formula is recorded as \mathbb N[13].
- Cauchy's estimate's in defining formula is recorded as |-|[14].
- Cauchy's estimate's in defining formula is recorded as (-)^{(n)}[15].
- Cauchy's estimate's in defining formula is recorded as ![16].
- Cauchy's estimate's in defining formula is recorded as \sup[17].
- Cauchy's estimate's in defining formula is recorded as \partial[18].
- Cauchy's estimate's in defining formula is recorded as B(-,-)[19].