SECOND-HANKEL DETERMINANT OF LOGARITHMIC COEFFICIENTS OF CERTAIN ANALYTIC FUNCTIONS

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2024

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We consider the family of all analytic and univalent functions in the unit disk D:= {z ? ?: |z| < 1} of the form f (z) = z + a2z2 + a3z3 + � � � . We obtain the sharp bounds of the second-Hankel determinant of logarithmic coefficients for some subclasses of analytic functions. � Rocky Mountain Mathematics Consortium.

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Carath�odory function; Hankel determinant; logarithmic coefficients; spirallike functions; univalent functions

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