In this paper we study some classes namely S* (X), K (X), V (8) and S (m, M) of functions of the form
f (z) — z + a2 z2 . . . . regular and univalent in the unit disc D = {z: | z ] < 1} and also a class P (p.) of functions of the form
p (z) — 1 + aL z -a, z2 -J- . . . .
regular in D.
For suitable restrictipns of real constants a and (3 we obtain the radius of starlikeness of order 7) of normalized analytic functions f in D defined by the general integral operatör of the form r a + p rz - ı l /a, F ( z ) - --------- h (t)3 “ ’ f(t)a d t 1
L g(z)3 J o J
where F e S* (Â). g 6 S* (jz) and (i) lı £ S (m, M) or (ii) h e K (§) or (iii) h Ç V (S) or
h(z) (iv )------S P (8). Our results are sharp and generalize almost ali known results obtained so far in z this direction.
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 1 Ocak 1983 |
Gönderilme Tarihi | 1 Ocak 1983 |
Yayımlandığı Sayı | Yıl 1983 Cilt: 32 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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