Second-order differential subordination for analytic functions with fixed initial coefficient

zbMath1226.30008arXiv1208.0150MaRDI QIDQ648455

Sumit Nagpal, Vravi Ravichandran, Rosihan Mohamed Ali

Publication date: 22 November 2011

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0150

zbMATH Keywords

convex functionsstarlike functionsdifferential subordinationextended Schwarz lemmafixed initial coefficient

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)

Related Items (18)

Geometric studies on the class \(\mathcal U(\lambda)\) ⋮ Argument properties of analytic functions associated with the fixed coefficients ⋮ Marx-Strohhäcker theorem for multivalent functions ⋮ Unnamed Item ⋮ Weighted harmonic means ⋮ Some applications of third-order differential subordination for analytic functions involving \(k\)-Ruscheweyh derivative operator ⋮ Sufficient conditions for Janowski starlike functions with fixed second coefficient ⋮ Applications of theory of differential subordination of functions with fixed initial coefficient ⋮ Starlike functions and higher order differential subordinations ⋮ On a subclass of strongly starlike functions associated with exponential function ⋮ One some differential subordination involving the Bessel-Struve kernel function ⋮ Third-order differential superordination involving the generalized Bessel functions ⋮ Open-door lemma for functions with fixed second coefficients ⋮ Radius of Starlikeness for Analytic Functions with Fixed Second Coefficient ⋮ Differential subordinations and harmonic means ⋮ Differential subordinations involving generalized Bessel functions ⋮ Extension of Nunokawa lemma for functions with fixed second coefficient and its applications ⋮ Differential subordination and harmonic means for the Koebe type $n$-fold symmetric functions

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