The radius of convexity for the class of Janowski convex functions of complex order

Matematicki Vesnik

Volumn 54, Issue 1-2, 2002, Pages 9-12

  Polatoǧlu, Yaşar ^a   Bolcal, Metin ^a  

^a ISTANBUL KULTUR UNIVERSITY   (Turkey)

Author keywords

spirallike functions; spirallike functions of order ; Convex functions; Convex functions of order ; Janowski convex functions of complex order; Radius of convexity

Indexed keywords

EID: 18344390089     PISSN: 00255165     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. M.K. Aouf, H.E. Darwish and A.A. Attiya, Coefficient estimates for certain classes of analytic functions, Punjab Univ. J. Math. 32 (2000), 51-64.
2. A.W. Goodman, Univalent Functions, Vols. I, II, Mariner Publ. Comp. Inc., Tampa, Florida, 1983.
3. W. Janowski, Some extremal problems for certain families of analytic functions, I, Ann. Polon. Math. 28 (1973), 297-326.
4. M.A. Nasr and M.K. Aouf, On convex functions of complex order, Bull. Fac. Sci., University of Mansoura, 1982, 566-580.
5. B. Pinchuk, On starlike and convex functions of order α, Duke Math. J. 35 (1968), 721-734.
6. C. Pommerenke, On starlike and convex functions, J. London Math. Soc. (1962), 209-224.
7. M.S. Robertson, On the theory of univalent functions, Ann. Math. 37 (1936), 374-408.
8. M.S. Robertson, Radii of starlikeness and close-to-convexity, Proc. Amer. Math. Soc. 16 (1956), 847-882.
9. M.S. Robertson, Univalent functions f(z) for which zf(x) is spirallike, Michigan Math. J. 16 (1969), 97-101.
10. P.I. Sizuk, Regular functions f(z) for which zf(z) is 0-spiral shaped of order α, Sibirsk. Math. Zh. 16 (1975), 1286-1290.
11. P. Wiatrowski, The coefficients of a certain family of holomorphic functions, Zeszyty Nauk. Univ. Lodz. Nauki Mat. Przyrod., Ser. II. Zesty (39) Math (1971), 57-85.