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On certain subclasses of multivalently meromorphic close-to-convex maps

100%

Padmanabhan K.

Annales Polonici Mathematici

1998

tom 69

nr 3

251-263

Let Mₚ denote the class of functions f of the form $f(z) = 1/z^p + ∑_{k=0}^∞ aₖz^k$, p a positive integer, in the unit disk E = {|z| < 1}, f being regular in 0 < |z| < 1. Let $L_{n,p}(α) = {f: f ∈ Mₚ, Re{-(z^{p+1}/p) (Dⁿf)'} > α}$, α < 1, where $Dⁿf = (z^{n+p} f(z))^{(n)}/(z^p n!)$. Results on $L_{n,p}(α)$ are derived by proving more general results on differential subordination. These results reduce, by putting p =1, to the recent results of Al-Amiri and Mocanu.

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On differential sandwich theorems of analytic functions defined by certain linear operator

88%

Aouf M. K., Seoudy T. M.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2010

tom 64

nr 2

In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Some of our results improve and generalize previously known results.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

1 Aouf M. K.

1 Padmanabhan K.

1 Seoudy T. M.

1 2010

1 1998

Wyniki wyszukiwania

On certain subclasses of multivalently meromorphic close-to-convex maps

On differential sandwich theorems of analytic functions defined by certain linear operator