Some generalizations of the class of functions convex in one direction

DOI10.1134/S1995080217020196zbMath1369.30013OpenAlexW2598174806MaRDI QIDQ2357046

M. A. Sevodin

Publication date: 16 June 2017

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080217020196

zbMATH Keywords

family of curvesconditions for univalence\(\phi\)-shaped functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Cites Work

• Sets convex in a cone of directions
• THE MAIN RESULTS ON SUFFICIENT CONDITIONS FOR AN ANALYTIC FUNCTION TO BE SCHLICHT
• 𝜙-like analytic functions. I
• Analytic Functions Star-Like in One Direction
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