My consecutive numbers can do it

My consecutive function (n/(n+1)! - (n-1)/n!) can calculate factorials of negative numbers, numbers between zero to one, positive integers and decimal numbers greater than zero.

A single consecutive number function(n/(n+1)! -(n-1)/n!) with all the gamma functionalities.

e and log functions cannot do this.

Do Indians have this knowledge ? Can any Indian calculate all the gamma necessities with a single function. I wonder !!

Negative numbers calculated

Negative numbers actual

Zero to one calculated

Zero to one actual

Positive integer calculated

Positive integer actual

Positive decimal number calculated

Positive decimal number actual

Have a very nice day !!