A generalization of the Schwarzian derivative and its applications

DOI10.1007/BF01822882zbMath0228.30006MaRDI QIDQ2549772

B. E. Gopengauz

Publication date: 1972

Published in: Mathematical Notes (Search for Journal in Brave)

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Power series (including lacunary series) in one complex variable (30B10) Conformal mappings of special domains (30C20)

Cites Work

• On the zeros of the solutions of \(w(z)+p(z)w(z) = 0\)
• The Schwarzian derivative and multivalence
• On a Theorem of Pokornyi
• The Schwarzian Derivative and Disconjugacy of nth order Linear Differential Equations
• The Schwarzian derivative and schlicht functions
• Some Criteria of Univalence

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