On the univalent, bounded, non-vanishing and symmetric functions in the unit disk
Annales Polonici Mathematici, Tome 64 (1996) no. 3, pp. 291-299
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
The paper is devoted to a class of functions analytic, univalent, bounded and non-vanishing in the unit disk and in addition, symmetric with respect to the real axis. Variational formulas are derived and, as applications, estimates are given of the first and second coefficients in the considered class of functions.
Keywords:
univalent function, variational method, Schiffer type equation
Affiliations des auteurs :
J. Śladkowska 1
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author = {J. \'Sladkowska},
title = {On the univalent, bounded, non-vanishing and symmetric functions in the unit disk},
journal = {Annales Polonici Mathematici},
pages = {291--299},
publisher = {mathdoc},
volume = {64},
number = {3},
year = {1996},
doi = {10.4064/ap-64-3-291-299},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-64-3-291-299/}
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J. Śladkowska. On the univalent, bounded, non-vanishing and symmetric functions in the unit disk. Annales Polonici Mathematici, Tome 64 (1996) no. 3, pp. 291-299. doi: 10.4064/ap-64-3-291-299
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