Hankel determinants for starlike functions with respect to symmetrical points

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY(2023)

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摘要
We prove sharp bounds for Hankel determinants for starlike functions f with respect to symmetrical points, i.e., f given by f(z) = z + ?& INFIN; n=2 anzn for z & ISIN; D satisfying zf & PRIME;(z) Re f(z) - f(-z) > 0, z & ISIN; D. We also give sharp upper and lower bounds when the coefficients of f are real.
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关键词
& nbsp,Starlike functions,close-to-convex functions,Hankel determi-nant,coefficient problems
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