Research Article

Estimates for the Pre-Schwarzian norm for certain subclasses of analytic functions

Published in: Quaestiones Mathematicae
Volume 49 , issue 3 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 371–385

DOI: 10.2989/16073606.2025.2589840

Author(s): Rashid Ali Government College University Faisalabad, Pakistan, Mohsan Raza Government College University Faisalabad, Pakistan,

Keywords: 30C45, 30C50, 30C80, Starlike functions, convex functions, subordination, limacon, generalized telephone numbers, pre-Schwarzian norm,

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Abstract

For λ ≥ 1, let be the class of analytic functions f in the open unit disc defined by . Similarly, for the class is defined by . In this article, we present estimates for the pre-Schwarzian norm of functions in the classes and , as well as for the pre-Schwarzian norm of the Alexander transformation of functions in the same classes. Most of the results presented in this article are sharp.

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Research Article

Estimates for the Pre-Schwarzian norm for certain subclasses of analytic functions

Abstract

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