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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.
Hidetaka Hamada, and Gabriela Kohr. "k-convexity in several complex variables." Annales Polonici Mathematici 78.1 (2002): 85-96. <http://eudml.org/doc/280559>.
@article{HidetakaHamada2002, abstract = {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.}, author = {Hidetaka Hamada, Gabriela Kohr}, journal = {Annales Polonici Mathematici}, keywords = {-convexity; -convex domains; -convex mappings; growth and distortion theorems; starlike mapping; quasiregular mapping}, language = {eng}, number = {1}, pages = {85-96}, title = {k-convexity in several complex variables}, url = {http://eudml.org/doc/280559}, volume = {78}, year = {2002}, }
TY - JOUR AU - Hidetaka Hamada AU - Gabriela Kohr TI - k-convexity in several complex variables JO - Annales Polonici Mathematici PY - 2002 VL - 78 IS - 1 SP - 85 EP - 96 AB - 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. LA - eng KW - -convexity; -convex domains; -convex mappings; growth and distortion theorems; starlike mapping; quasiregular mapping UR - http://eudml.org/doc/280559 ER -