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THE THIRD HANKEL DETERMINANT FOR INVERSE COEFFICIENTS OF CONVEX FUNCTIONS

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The sharp bound for the third Hankel determinant for the coefficients of the inverse function of convex functions is obtained, thus answering a recent conjecture concerning invariance of coefficient functionals… Click to show full abstract

The sharp bound for the third Hankel determinant for the coefficients of the inverse function of convex functions is obtained, thus answering a recent conjecture concerning invariance of coefficient functionals for convex functions.

Keywords: third hankel; determinant inverse; hankel determinant; inverse coefficients; convex functions

Journal Title: Bulletin of the Australian Mathematical Society
Year Published: 2023

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