Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Univalence, strong starlikeness and integral transforms

100%

Obradović M., Ponnusamy S., Vasundhra P.

Annales Polonici Mathematici

2005

tom 86

nr 1

1-13

Let 𝓐 represent the class of all normalized analytic functions f in the unit disc Δ. In the present work, we first obtain a necessary condition for convex functions in Δ. Conditions are established for a certain combination of functions to be starlike or convex in Δ. Also, using the Hadamard product as a tool, we obtain sufficient conditions for functions to be in the class of functions whose real part is positive. Moreover, we derive conditions on f and μ so that the non-linear integral transform $∫_0^z (ζ/f(ζ))^{μ} dζ$ is univalent in Δ. Finally, we give sufficient conditions for functions to be strongly starlike of order α.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Obradović M.

1 Ponnusamy S.

1 Vasundhra P.

1 2005

Wyniki wyszukiwania

Univalence, strong starlikeness and integral transforms