شماره ركورد كنفرانس :
5263
عنوان مقاله :
On the class of (x; φ)- starlike functions
پديدآورندگان :
Soltani Masih Vali v_soltani@pnu.ac.ir Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697, Tehran, Iran , Cheshmavar Jahangir j_cheshmavar@pnu.ac.ir Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697, Tehran, Iran , Maghsoudi Saeideh maghsoudi@student.pnu.ac.ir Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697, Tehran, Iran
كليدواژه :
(x , φ) , starlike functions, starlike function, subordination, extreme function.
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
چكيده فارسي :
We study M (x; φ), the class of normalized analytic functions f in the open unit disk D with f(z)f′(z)/z ̸= 0, fulfilling the condition (x(1 +zf′′(z)f′(z))+ (1 − x)zf′(z)f(z))≺ φ(z), where x is a real number, ≺ is the subordination relation and is an analytic function in D with positive real part, whose range is symmetric with respect to the real axis. Furthermore, integral representation of the functions belongs to M (x; φ) is shown.
