Generalization of theorems of Szász and Ruscheweyh on exact bounds for derivatives of analytic functions

DOI10.3103/S1066369X09120111zbMath1181.30007MaRDI QIDQ1048374

D. Kh. Giniyatova

Publication date: 12 January 2010

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

analytic functionPoincaré metricSchwarz-Pick type inequalities

Mathematics Subject Classification ID

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

Related Items (1)

Versions of the Schwarz lemma for domain moments and the torsional rigidity

Cites Work

• Unnamed Item
• Estimates for derivatives of holomorphic functions in a hyperbolic domain
• The punishing factors for convex pairs are \(2^{n-1}\)
• Estimates of the derivatives of meromorphic maps from convex domains into concave domains
• Schwarz-Pick inequalities for the Schur-Agler class on the polydisk and unit ball
• Schwarz-Pick inequalities for derivatives of arbitrary order
• Higher derivatives of holomorphic function with positive real part
• Schwarz–Pick Type Estimates

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