Binomial coefficient

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Revision as of 18:16, 27 January 2022 (edit) Ranjelin (Talk | contribs) (Matlab nchoosek is incomplete for negative arguments.) ← Previous diff		Revision as of 18:18, 27 January 2022 (edit) (undo) Ranjelin (Talk | contribs) (→binomial coefficient, full definition, Matlab) Next diff →
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-	== binomial coefficient, full definition, Matlab ==	+	== full definition, Matlab ==
	binomial coefficient from M.J. Kronenburg		binomial coefficient from M.J. Kronenburg
	[https://arxiv.org/pdf/1105.3689.pdf]		[https://arxiv.org/pdf/1105.3689.pdf]

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Revision as of 18:18, 27 January 2022

full definition, Matlab

binomial coefficient from M.J. Kronenburg [1]

Also see: Wolfram

function y = binomial(n, k)
if ~k || k == n
   y = 1;
elseif k == 1
   y = n;
elseif n < 0
   if k > 0
      y = (-1)^k*nchoosek(-n+k-1, k);
   elseif k <= n
      y = (-1)^(n-k)*nchoosek(-k-1, n-k);
   elseif n < k && k < 0
      y = 0;
   end
elseif n >= 0
   if k < 0 || k > n
      y = 0;
   else
      y = nchoosek(n,k);
   end
end
return