پديدآورندگان :
Soltani Masih Vali v_soltani@pnu.ac.ir Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697, Tehran, Iran , Rahmatan Hormoz h_rahmatan@pnu.ac.ir Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697, Tehran, Iran , Taheri Saydeh kolsom kolsomtaheri@student.pnu.ac.ir Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697, Tehran, Iran
كليدواژه :
univalent functions , subordination , starlike and convex functions , Cardioid
چكيده فارسي :
This paper focuses on the behavior of analytic and normalized functions $f$ within the open unit disk $mathbb{D}$, belonging to the families $mathcal{ST}_c$ or $mathcal{CV}_c$. Functions in these families satisfy the condition that either $zf /f$ or $1+zf /f $ lies within a region bounded by the Cardioid curve. The paper presents various results related to the behavior of functions in these families.