A Lagrange Inversion Based Method for Solving the Non-zero Real Roots and the Monotone Interval Estimation of Series Functions

Subjects: Mathematics >> Mathematics （General） submitted time 2024-02-17

luotianxun

Abstract： In this paper, we first study the monotone intervals in the neighborhood of x=0 for the series y=a1x+a2x2+a3x3+…+anxn+… by using the Lagrange inversion series method. Then, for the more general series equation, we give a calculation method of the nonzero and minimum real roots.

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