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May 13, 2026Journal of Applied Analysis0 citations

Zalcman conjecture for a subclass of multivalent functions defined by Sălăgean operator

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SBSerap Bulut

Key Points

  • The aim is to explore a new subclass of analytic and multivalent functions using the Sălăgean operator and identify the sharp upper bounds of the Zalcman functional.
  • Introduced a subclass of analytic and multivalent functions via Sălăgean's differential operator.
  • Calculated the sharp upper bound of the Zalcman functional for functions in this subclass.
  • Identified the upper bound for the Zalcman functional for the defined subclass of functions.

Abstract

Abstract In this paper, we introduce a new subclass of analytic and multivalent functions by means of the Sălăgean’s differential operator, and obtain the sharp upper bound of Zalcman functional | a p + 1 2 - a p + 2 | |a₏+₁^{2-a₏+₂|} for functions belong to this class.

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Cite This Study

Serap Bulut (2026) studied this question.

synapsesocial.com/papers/6a0414f679e20c90b4444cf3https://doi.org/10.1515/jaa-2026-0009
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