We geometrically define subclasses of starlike functions related to the class of uniformly starlike functions introduced by A. W. Goodman in 1991. We give an analytic characterization of these classes, some radius properties, and examples of functions in these classes. Our classes generalize the class of uniformly starlike functions, and many results of Goodman are special cases of our results.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap108-1-2,
author = {Agnieszka Wi\'sniowska-Wajnryb},
title = {On classes of uniformly starlike functions},
journal = {Annales Polonici Mathematici},
volume = {107},
year = {2013},
pages = {11-19},
zbl = {1267.30057},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap108-1-2}
}
Agnieszka Wiśniowska-Wajnryb. On classes of uniformly starlike functions. Annales Polonici Mathematici, Tome 107 (2013) pp. 11-19. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap108-1-2/