Let T be the class of functions \( f(z)=z+{\displaystyle \sum_{n=2}^{\infty }{c}_n{z}^n} \) regular and typically real in the disk U = {|z| < 1}. Sharp estimates on the coefficients c 5 and c 6 in terms of the values f(r), 0 < r < 1, are obtained.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 439, 2015, pp. 38–46.
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Goluzina, E.G. Sharp Estimates of the First Coefficients for a Class of Typically Real Functions. J Math Sci 216, 746–752 (2016). https://doi.org/10.1007/s10958-016-2938-3
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DOI: https://doi.org/10.1007/s10958-016-2938-3