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

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.