THIRD HANKEL DETERMINANTS FOR STARLIKE AND CONVEX FUNCTIONS OF ORDER ALPHA

ORHAN, Halit; ZAPRAWA, Pawel

doi:10.4134/bkms.b160916

THIRD HANKEL DETERMINANTS FOR STARLIKE AND CONVEX FUNCTIONS OF ORDER ALPHA

ORHAN H., ZAPRAWA P.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.55, sa.1, ss.165-173, 2018 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 55 Sayı: 1
Basım Tarihi: 2018
Doi Numarası: 10.4134/bkms.b160916
Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.165-173
Anahtar Kelimeler: Hankel determinant, starlike functions, convex functions, n-fold symmetric functions
Atatürk Üniversitesi Adresli: Evet

Özet

In this paper we obtain the bounds of the third Hankel determinants for the classes S*(alpha) of starlike functions of order alpha and K(alpha) of convex functions of order alpha. Moreover,we derive the sharp bounds for functions in these classes which are additionally 2-fold or 3-fold symmetric.