Author steven.daprano
Recipients David Radcliffe, FR4NKESTI3N, josh.r, jwilk, kellerfuchs, mark.dickinson, pablogsal, rhettinger, serhiy.storchaka, steven.daprano, tim.peters
Date 2019-06-03.11:40:50
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For what its worth, there are concrete, practical applications for 
binomial coefficients with negative arguments. They are used in 
fractional calculus

which in turn has applications in physics, chemistry and other sciences:

Take that however you see fit :-)

My own preference is for a comb() function that returns 0 for out of 
bounds values (e.g. "choose 5 items from 4"), and a seperate binomial() 
function that accepts any positive or negative integer values. Even I 
think that fractional and complex arguments are probably a bit too 
exotic for the std lib -- that's Mathematica territory.

And yes, Mathematica does accept fractional and complex arguments to 
the choose() function.,+sqrt%28-4%2Bi%29%29
Date User Action Args
2019-06-03 11:40:50steven.dapranosetrecipients: + steven.daprano, tim.peters, rhettinger, mark.dickinson, jwilk, serhiy.storchaka, josh.r, pablogsal, kellerfuchs, FR4NKESTI3N, David Radcliffe
2019-06-03 11:40:50steven.dapranolinkissue35431 messages
2019-06-03 11:40:50steven.dapranocreate