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- W2111244984 abstract "For normalized analytic functions f in the unit disk, the estimate of the integral means urn:x-wiley:dummy:media:mana201300291:mana201300291-math-0001 is important in certain problems in fluid dynamics, especially when the functions are non‐vanishing in the punctured unit disk . We consider the problem of finding the extremal function f which maximizes the integral means for f belong to certain classes of analytic functions related to sufficient conditions of univalence. In addition, for certain subclasses of the class of normalized univalent and analytic functions, we solve the extremal problem for the Yamashita functional urn:x-wiley:dummy:media:mana201300291:mana201300291-math-0006 where denotes the area of the image of under . The first problem was originally discussed by Gromova and Vasil'ev in 2002 while the second by Yamashita in 1990." @default.
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- W2111244984 date "2014-09-09" @default.
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- W2111244984 title "Integral means and Dirichlet integral for analytic functions" @default.
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- W2111244984 doi "https://doi.org/10.1002/mana.201300291" @default.
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