Cauchy-Hadamard theorem

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Cauchy-Hadamard theorem [kō·shē ′had·ə·mär ‚thir·əm]

(mathematics)

The theorem that the radius of convergence of a Taylor series in the complex variablezis the reciprocal of the limit superior, asnapproaches infinity, of thenth root of the absolute value of the coefficient ofzⁿ.

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Cauchy's test for convergence
Cauchy, Augustin Louis, Baron
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Cauchy's theorem
Cauchy's theorem (geometry)
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Cauchy-Binet formula

Cauchy-Born approximation
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Cauchy-Crofton formula
Cauchy-Davenport theorem
Cauchy-Euler equation
Cauchy-Frobenius lemma
Cauchy-Goursat theorem
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Cauchy-Riemann conditions
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Cauchy-Riemann equations
Cauchy-Riemann system
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