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See the recommended documentation of this function

# acsch

computa o arco-cossecante hiperbólico elemento a elemento do argumento

### Seqüência de Chamamento

`y = acsch(x)`

### Parâmetros

x

array de reais ou complexos

y

array de reais ou complexos

### Descrição

Computa o arco-cossecante hiperbólico elemento a elemento do argumento. Para argumentos com valores absolutos maiores que 1, o resultado é real.

As seguintes igualdades se verificam: ```acsch(z) = -acsch(-z) = asinh(1/z) = csgn(%i+1/z)*asech(-i*z)-%i*%pi/2 = %i*acsc(%i*z)```

### Exemplos

```x=linspace(1,20,200);
x=[-x(\$:-1:1) %nan x];
plot(x,acsch(x))```

### Referências

• Kahan, W., "Branch cuts for complex elementary functions, or, Much ado about nothing's sign bit", Proceedings of the joing IMA/SIAM conference on The State of the Art in Numerical Analysis, University of Birmingham, A. Iserles and M.J.D. Powell, eds, Clarendon Press, Oxford, 1987, 165-210.

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