Many mathematical concepts are explained when viewed through complex function theory. We here basically concerned with the form f(z)=a0+a1z+a2z2+...f(z) ?A, f(z)=z+??, n=2anZ2 will be an analytic in open unit disc U={z:|z|<1, z=?C}normalized by f(0) = 0, f'(0)=1. In this work, starlike functions and close-to-convex order 1/4 have been studied according to exact requirements.

Abstract Let f be analytic in the unit disk $${\mathbb {D}}=\{z\in {\mathbb {C}}:|z|&lt;1 \}$$ D = { z ∈ C : | &lt; 1 } </mml:mat...