On products of starlike functions. I

• Autorzy: Georgi Dimkov
• Języki publikacji: EN

Abstrakty

EN

We deal with functions given by the formula $F(z) = zG'(z) = z∏_{j=1}^n (f_j(z)/z)^{a_j}$ where $f_j(z)$ are starlike of order $α_j$ and $a_j$ are complex constants. In particular, radii of starlikeness and convexity as well as orders of starlikeness and convexity are found.

Kategorie tematyczne

• 30C75: Extremal problems for conformal and quasiconformal mappings, other methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991
• Tom: 55
• Numer: 1
• Strony: 75-79

Daty

wydano

1991

otrzymano

1990-09-11

Twórcy

autor

Georgi Dimkov

• Institute of Mathematics, Bulgarian Academy of Sciences, P.O. Box 373, 1090 Sofia, Bulgaria

Bibliografia

• [1] H. Silverman, Products of starlike and convex functions, Ann. Univ. Mariae Curie-Skłodowska 29(1975), 109-116.
• [2] A. W. Goodman, Univalent Functions, Mariner, 1983.