zeta {dsfa}

R Documentation

Zeta

Description

Evaluates the zeta function, i.e. log(2*pnorm(x)).

Usage

zeta(x, deriv = 0)

Arguments

x	numeric vector of quantiles. Missing values (NAs) and Inf are allowed.
deriv	derivative of order deriv of the zeta function. Available are 0, 2 and 4.

Details

The zeta function is defined as log\{ 2 \Phi(x)\}. The function is a clone of zeta().

Value

Evaluates the zeta function. If the derivatives are calculated these are provided as the attributes gradient, hessian, l3 and l4.

References

• Abramowitz M, Stegun IA (1964). “Handbook of mathematical functions dover publications inc.” New York, NY.

• Azzalini A (2014). “with the collaboration of A. Capitanio.” The Skew-normal and Related Families.

Examples

zeta(1,1)

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