Third-order differential inequalities and subordinations in the complex plane

DOI10.1080/17476931003728404zbMath1220.30035OpenAlexW2119493747MaRDI QIDQ3013905

Sanford S. Miller, José A. Antonino

Publication date: 19 July 2011

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476931003728404

zbMATH Keywords

convex functionsBessel functionsdifferential inequalitiesunivalent functionsdifferential subordinations

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) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Inequalities in the complex plane (30A10)

Related Items (20)

Third order differential subordination associated with Janowski functions ⋮ Third-order differential subordination and superordination involving a fractional operator ⋮ Certain third order differential subordination results of meromorphic multivalent functions ⋮ Certain third order differential subordination ⋮ Third-order differential subordinations for analytic functions associated with generalized Mittag-Leffler functions ⋮ Some applications of third-order differential subordination for analytic functions involving \(k\)-Ruscheweyh derivative operator ⋮ Differential subordination for certain strongly starlike functions ⋮ Third-order differential subordination and superordination results for meromorphically multivalent functions associated with the Liu-Srivastava operator ⋮ On application of differential subordination for Carathéodory functions ⋮ Convexity of functions defined by differential inequalities and integral operators ⋮ Starlike functions and higher order differential subordinations ⋮ Systems of simultaneous differential inequalities, inclusions and subordinations in the complex plane ⋮ One some differential subordination involving the Bessel-Struve kernel function ⋮ Certain integral operator related to the Hurwitz-Lerch zeta function ⋮ Third-order differential sandwich-type results involving the Liu-Owa integral operator ⋮ Third-order differential superordination involving the generalized Bessel functions ⋮ Applications of differential subordinations involving a generalized fractional differintegral operator ⋮ Third order differential subordination and superordination results for analytic functions involving the Hohlov operator ⋮ Applications of third order differential subordination and superordination involving generalized struve function ⋮ Boundedness of analytic functions in the unit disc using the theory of differential subordination

Cites Work

• Differential subordinations and univalent functions
• Convexity Preservation of Inverse Euler Operators and a Problem of S. Miller

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