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Abstract

The author considers a new class \(SH_{\lambda \mu }^m (\alpha )\) of normalized analytic functions defined by a differential operator. Several basic properties and characteristics of the functions belonging to the class \(SH_{\lambda \mu }^m (\alpha )\) are investigated. These include integral representations, coefficient bounds, the Fekete-Szegö problem, class-preserving operators and T δ -neighborhoods.

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Correspondence to Dorina Răducanu.

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Răducanu, D. Analytic functions related with the hyperbola. Chin. Ann. Math. Ser. B 34, 515–528 (2013). https://doi.org/10.1007/s11401-013-0783-y

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  • DOI: https://doi.org/10.1007/s11401-013-0783-y

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