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ShiftedMoments(AngouriMath.Entity,System.Int32,AngouriMath.Entity,AngouriMath.Entity,AngouriMath.Entity,AngouriMath.Entity,AngouriMath.Entity,AngouriMath.Entity.Variable)

Method (no overloads)

Summary

int k x^m P(x) F^(a x^2 + b x + c) dx with a linear term b, for a whole
m and a polynomial P, which may be absent. At the square's centre,
u = x + b/(2a), the exponential is F^(c - b^2/(4a)) times F^(a u^2),
and x^m P(x) a polynomial in u, each power of which is a moment of the
Gaussian. An odd moment ends at I_1 = e^(A u^2)/(2A), which is elementary.
Rubi's 2.3, f^(a + b x + c x^2) (d + e x)^m and f^(c (a + b x)^2) x^m.
https://github.com/asc-community/AngouriMath/issues/1501

AngouriMath

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AngouriMath

ShiftedMoments​(AngouriMath.​Entity,​System.​Int32,​AngouriMath.​Entity,​AngouriMath.​Entity,​AngouriMath.​Entity,​AngouriMath.​Entity,​AngouriMath.​Entity,​AngouriMath.​Entity.​Variable)

ShiftedMoments(AngouriMath.Entity,System.Int32,AngouriMath.Entity,AngouriMath.Entity,AngouriMath.Entity,AngouriMath.Entity,AngouriMath.Entity,AngouriMath.Entity.Variable)