Abstract:
Some properties of the analytic fixed point function, introduced recently by D. Mejia and Ch. Pommerenke, are discussed. In particular, several extremal properties of such functions, related to mappings from the unit disk onto symmetric Riemann surfaces, are established. Bibliography: 17 titles.
Citation:
A. Yu. Solynin, “The analytic fixed point function and its properties”, Analytical theory of numbers and theory of functions. Part 21, Zap. Nauchn. Sem. POMI, 337, POMI, St. Petersburg, 2006, 238–252; J. Math. Sci. (N. Y.), 143:3 (2007), 3153–3160
\Bibitem{Sol06}
\by A.~Yu.~Solynin
\paper The analytic fixed point function and its properties
\inbook Analytical theory of numbers and theory of functions. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 337
\pages 238--252
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl191}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2271966}
\zmath{https://zbmath.org/?q=an:1122.30018}
\elib{https://elibrary.ru/item.asp?id=9305283}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 143
\issue 3
\pages 3153--3160
\crossref{https://doi.org/10.1007/s10958-007-0199-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34248153275}
Linking options:
https://www.mathnet.ru/eng/znsl191
https://www.mathnet.ru/eng/znsl/v337/p238
This publication is cited in the following 2 articles:
Ponnusamy S., Wirths K.-J., “on the Problem of Gromova and Vasil'Ev on Integral Means, and Yamashita'S Conjecture For Spirallike Functions”, Ann. Acad. Sci. Fenn. Ser. A1-Math., 39:2 (2014), 721–731
M. F. Gamal', “On Toeplitz operators similar to unilateral shifts”, J. Math. Sci. (N. Y.), 148:6 (2008), 830–840
Citation in format AMSBIB
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