Cauchy's integral formula
provides integral formulas for all derivatives of a holomorphic function
Press Enter · cited answer in seconds
0 sources
Cauchy's integral formula
Summary
Cauchy's integral formula is a theorem[1]. It ranks in the top 5% of theorem entities by monthly Wikipedia readership (548 views/month).[2]
Key Facts
- Cauchy's integral formula's instance of is recorded as theorem[3].
- Augustin-Louis Cauchy is named after Cauchy's integral formula[4].
- Cauchy's integral formula's Freebase ID is recorded as /m/0jlzr[5].
- Cauchy's integral formula's described by source is recorded as Armenian Soviet Encyclopedia, vol. 5[6].
- Cauchy's integral formula's different from is recorded as Cauchy's integral theorem[7].
- Cauchy's integral formula's defining formula is recorded as f(z_0) = \frac{1}{2 \pi \mathrm{i}} \int_{\mathsf{C}} \frac{f(z)}{z - z_0} \, \mathrm{d}z[8].
- Cauchy's integral formula's MathWorld ID is recorded as CauchyIntegralFormula[9].
- Cauchy's integral formula's nLab ID is recorded as Cauchy's integral formula[10].
- Cauchy's integral formula's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[11].
- Cauchy's integral formula's maintained by WikiProject is recorded as WikiProject Mathematics[12].
- Cauchy's integral formula's Microsoft Academic ID is recorded as 82006148[13].
- Cauchy's integral formula's ProofWiki ID is recorded as Cauchy's_Integral_Formula[14].
- Cauchy's integral formula's in defining formula is recorded as f[15].
- Cauchy's integral formula's in defining formula is recorded as \int_{\mathsf{C}} f(z) \, \mathrm{d}z[16].
- Cauchy's integral formula's in defining formula is recorded as \mathsf{C}[17].
- Cauchy's integral formula's in defining formula is recorded as \pi[18].
- Cauchy's integral formula's in defining formula is recorded as \mathrm{i}[19].
- Cauchy's integral formula's Online PWN Encyclopedia ID is recorded as 3883637[20].
- Cauchy's integral formula's Encyclopedia of Mathematics article ID is recorded as Cauchy_integral[21].
- Cauchy's integral formula's OpenAlex ID is recorded as C82006148[22].
- Cauchy's integral formula's Digital Library of Mathematical Functions ID is recorded as 1.9.E30[23].
Why It Matters
Cauchy's integral formula ranks in the top 5% of theorem entities by monthly Wikipedia readership (548 views/month).[2] It has Wikipedia articles in 24 language editions, a strong signal of global cultural recognition.[24] It is known by 7 alternative names across languages and contexts.[25]