We define and investigate the notion of k-convexity in the sense of Mejia-Minda for domains in ℂⁿ and also that of k-convex mappings on the Euclidean unit ball.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap78-1-8, author = {Hidetaka Hamada and Gabriela Kohr}, title = {k-convexity in several complex variables}, journal = {Annales Polonici Mathematici}, volume = {79}, year = {2002}, pages = {85-96}, zbl = {0996.32008}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap78-1-8} }
Hidetaka Hamada; Gabriela Kohr. k-convexity in several complex variables. Annales Polonici Mathematici, Tome 79 (2002) pp. 85-96. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap78-1-8/