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Some properties of the class \(\mathcal{U}\)

100%

Obradovic M., Tuneski N.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2019

tom 73

nr 1

In this paper we study the class \(\mathcal{U}\) of functions that are analytic in the open unit disk \(D =\{z : |z| < 1\}\), normalized such that\(f(0) = f'(0)-1 = 0\) and satisfy \[\left|\left[\frac{z}{f(z)}\right]^2f'(z) - 1\right|< 1\quad (z\in D).\]For functions in the class \(\mathcal{U}\) we give sharp estimates of the second and the third Hankel determinant, its relationship with the class of \(\alpha\)-convex functions, as well as certain starlike properties.

On subordination for classes of non-Bazilevic type

81%

Ibrahim R. W., Darus M., Tuneski N.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2010

tom 64

nr 2

We give some subordination results for new classes of normalized analytic functions containing differential operator of non-Bazilevic type in the open unit disk. By using Jack’s lemma, sufficient conditions for this type of operator are also discussed.

Ograniczanie wyników

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

2 Tuneski N.

1 Darus M.

1 Ibrahim R. W.

1 Obradovic M.

1 2019

1 2010

Wyniki wyszukiwania

Some properties of the class \(\mathcal{U}\)

On subordination for classes of non-Bazilevic type