Glaisher-Kinkelin Constant

Glaisher-Kinkelin constant.

Glaisher-Kinkelin constant is defined as

upper A equals limit Underscript n right-arrow normal infinity Endscripts StartFraction upper K left-parenthesis n plus 1 right-parenthesis Over n Superscript n squared slash 2 plus n slash 2 plus 1 slash 12 Baseline e Superscript minus n squared slash 4 Baseline EndFraction

where

upper K left-parenthesis n right-parenthesis equals product Underscript k equals 1 Overscript n minus 1 Endscripts k Superscript k

is the K-function.

Usage

var A = require( '@stdlib/constants/math/float64-glaisher-kinkelin' );

A

The Glaisher-Kinkelin constant.

var bool = ( A === 1.2824271291006226 );
// returns true

Examples

var A = require( '@stdlib/constants/math/float64-glaisher-kinkelin' );

console.log( 'Glaisher\'s constant: %d', A );
// => 1.2824271291006226