Strong differential subordination properties for analytic functions involving the Komatu integral operator

DOI10.1186/1687-2770-2013-44zbMath1291.30148OpenAlexW2140844949MaRDI QIDQ2444624

Nak Eun Cho

Publication date: 10 April 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-44

zbMATH Keywords

convex functionunivalent functionKomatu integral operatorstrong differential subordinationstrong differential superordination

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 (4)

Strong differential subordinations and superordinations obtained with some new integral operators ⋮ Strong differential subordination and superordination for multivalently meromorphic functions involving the Hurwitz-Lerch zeta function ⋮ Strong differential subordinations obtained with new integral operator defined by polylogarithm function ⋮ STRONG DIFFERENTIAL SUBORDINATION AND SUPERORDINATION OF NEW GENERALIZED DERIVATIVE OPERATOR

Cites Work

• Differential subordination and superordination of analytic functions defined by the Dziok-Srivastava linear operator
• The Hardy space of analytic functions associated with certain one-parameter families of integral operators
• Strong differential subordination to Briot-Bouquet differential equations
• A linear operator and strongly starlike functions
• The dual of an inequality of Hardy and Littlewood and some related inequalities
• Strong differential subordination and superordination for multivalently meromorphic functions involving the Liu–Srivastava operator
• Subordinants of differential superordinations

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