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)



[Package dsfa version 1.0.1 Index]