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6.4.5 uinv_as_power_series, ureverse_inv_as_power_series

uinv_as_power_series(p,d)
ureverse_inv_as_power_series(p,d)
:: Computes the truncated inverse as a power series.

return
univariate polynomial
p
univariate polynomial
d
non-negative integer

 
[123] A=(x+1)^5;                 
x^5+5*x^4+10*x^3+10*x^2+5*x+1
[124] uinv_as_power_series(A,5); 
-126*x^5+70*x^4-35*x^3+15*x^2-5*x+1
[126] A*R;
-126*x^10-560*x^9-945*x^8-720*x^7-210*x^6+1
[127] A=x^10+x^9;
x^10+x^9
[128] R=ureverse_inv_as_power_series(A,5);
-x^5+x^4-x^3+x^2-x+1
[129] ureverse(A)*R;
-x^6+1

References
6.4.4 utrunc, udecomp, ureverse, 6.4.6 udiv, urem, urembymul, urembymul_precomp, ugcd.



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