On the existence of meromorphically starlike and meromorphically convex solutions of Shah's differential equation

zbMath1320.30022MaRDI QIDQ2354531

M. N. Sheremeta, K. I. Dosyn

Publication date: 16 July 2015

Published in: Matematychni Studiï (Search for Journal in Brave)

zbMATH Keywords

differential equationconvex functionsstar-like functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

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On meromorphically starlike functions of order $\alpha$ and type $\beta$, which satisfy Shah's differential equation

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