Communications of the
Korean Mathematical Society CKMS

This paper examines two novel subclasses of multivalent analytic functions in the open unit disc, characterized by fixed second coefficients. These subclasses interestingly unify several previously introduced and studied subclasses. We establish some argument properties and discuss the integral operator for functions in these subclasses. Our results include new findings that generalize and refine the related works of various authors.

Keywords: Analytic functions, strongly convex and starlike functions,
argument properties, inclusion relations, Bernardi integral operator

MSC numbers: 30C45, 30C55