Cauchy's estimate

bound for the coefficients of the Taylor series of holomorphic functions

Wikidata entity: Q3153996

P2534	defining formula	Math	$\forall a \in ℂ \forall r > 0 \forall f \in ℋ (\bar{B} (a, r), ℂ) \forall n \in ℕ : \| f^{(n)} (a) \| \leq \frac{n!}{r^{n}} \sup_{z \in \partial B (a, r)} \| f (z) \|$	???
P2534	defining formula	Math	$\| a_{n} \| \leq r^{- n} \sup_{\| z \| = r} \| f (z) \|$	???
P180	depicts	...	Q207476 (holomorphic function)	holomorphic function
P1889	different from	...	Q190546 (Cauchy–Schwarz inequality)	Cauchy–Schwarz inequality
P828	has cause	...	Q913764 (Cauchy's integral formula)	Cauchy's integral formula
P7235	in defining formula	Math	$\sup$	???
P7235	in defining formula	Math	$\partial$	???
P7235	in defining formula	Math	$ℋ (-, -)$	???
P7235	in defining formula	Math	$\bar{B} (-, -)$	???
P7235	in defining formula	Math	$(-)^{(n)}$	???
P7235	in defining formula	Math	$ℕ$	???
P7235	in defining formula	Math	$ℂ$	???
P7235	in defining formula	Math	$!$	???
P7235	in defining formula	Math	$\| - \|$	???
P7235	in defining formula	Math	$B (-, -)$	???
P6104	maintained by WikiProject	...	Q8487137 (WikiProject Mathematics)	WikiProject Mathematics
P138	named after	...	Q8814 (Augustin-Louis Cauchy)	Augustin-Louis Cauchy
P2579	studied by	...	Q193756 (complex analysis)	complex analysis
P279	subclass of	...	Q28113351 (inequality)	inequality

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