SHARP INITIAL COEFFICIENT BOUNDS FOR A GENERALIZED JANOWSKI-TYPE SUBCLASS OF STARLIKE FUNCTIONS DEFINED BY SUBORDINATION

AVDIJI, Skender (2026) SHARP INITIAL COEFFICIENT BOUNDS FOR A GENERALIZED JANOWSKI-TYPE SUBCLASS OF STARLIKE FUNCTIONS DEFINED BY SUBORDINATION. In: INTERNATIONAL CONFERENCE “FROM RESEARCH TO APPLICATION”, 20 May, 2026.

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Abstract

For a function f of the class A involving an analytic function φ using subordination is defined a generalized Janowski-type subclass of normalized analytic functions. For functions belonging to this class, we derive sharp bounds for the initial coefficients |a2 | and |a3 |. These bounds are given explicitly in terms of the parameters A and B, as well as the derivatives φ′(1) and φ′′(1). Several significant special cases are examined, including the classical Janowski starlike class, a square-root–type case, and a case associated with exponential distortion. The sharpness of the obtained results is established by constructing appropriate extremal Schwarz functions

Item Type: Conference or Workshop Item (Paper)
Subjects: Q Science > Q Science (General)
Divisions: Faculty of Engineering, Science and Mathematics > School of Electronics and Computer Science
Depositing User: Unnamed user with email zshi@unite.edu.mk
Date Deposited: 23 Sep 2026 10:10
Last Modified: 23 Sep 2026 10:10
URI: http://eprints.unite.edu.mk/id/eprint/2473

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