This work focuses on the evalution of the coefficients of the terms generated by the Fluctuation Expansion. Fluctuationlessness Theorem states that the truncated matrix representation of a univariate function may be approximated by the image of the operator multiplying its operand with its independent variable under the action of the function. As the Fluctuation terms are added the approximation is improved. By considering the three consecutive term recursive basis functions, the coefficients of the Fluctuation terms can be acquired systematically.
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