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SolveARationalFunctionOfTheLogarithmByPartialFractionsInIt​(AngouriMath.​Entity,​AngouriMath.​Entity.​Variable,​System.​Boolean)

 Method (no overloads)

Summary

A rational function of x and L = ln(x) whose denominator is a product of
distinct linears in L over the rational functions of x, by partial fractions
in L: N/D = sum N(r)/(D'(r) (L - r)) over the roots r in L, and
each term a question of its own.

Remarks

Bronstein's (2 L^2 - L - x^2)/(L^3 - x^2 L) is 1/L + ((x - 1)/(2x))/(L - x) +
((x + 1)/(2x))/(L + x), the logarithmic integral and the logarithmic derivatives of
L - x and L + x, each of which is answered; written whole it was declined,
the tower ansatz writing no logarithmic integral. The identity is one in the field of
rational functions of x, since x and ln(x) are algebraically independent, and the
answer is differentiated back at sampled points all the same.
 Last of all, at the question asked only, and only for two roots or more: one linear in
L is the substitutions' and the parts', and nothing they answered is taken from them.
https://github.com/asc-community/AngouriMath/issues/233

























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