No abstract

In the present article, using the subordination principle, the authors employed certain generalized multiplier transform to define two new subclasses of analytic functions with respect to symmetric and conjugate points. In particular, bi-univalent conditions for function f(z) belonging to these new subclasses and their relevant connections to the famous Fekete-Szegö inequality |a3−va22| were investigated using a succinct mathematical approach.

UDC 517.5 For a function   f ( z ) = z p + ∑ k = 1 ∞ a k + p z k + p , where p ∈ ℕ , the authors investigate some properties of a more general multiplier transform on analytic p -valent functions in an open unit disk. The applications of the obtained results to fractional calculus are pointed out, while several other corollaries follow as simple consequences.

No abstract

The prime focus of the present work is to investigate some fascinating relations of some analytic and univalent functions using a subordination theorem.