Brahmagupta Polynomial

Author

Eric W. Weisstein
December 5, 2002

This notebook downloaded from http://mathworld.wolfram.com/notebooks/SpecialFunctions/BrahmaguptaPolynomial.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/BrahmaguptaPolynomial.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Definition

BrahmaguptaX[{x_,y_,t_},n_]:=Sum[Binomial[n,2i] x^(n-2i) t^i y^(2i),{i,0,n}]
BrahmaguptaY[{x_,y_,t_},n_]:=Sum[Binomial[n,2i+1] x^(n-2i-1) t^i y^(2i+1),{i,0,n}]

Enumeration

Table[BrahmaguptaX[{x,y,t},n],{n,0,4}]//ColumnForm//TraditionalForm

Table[BrahmaguptaY[{x,y,t},n],{n,0,4}]//ColumnForm//TraditionalForm