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Fekete-Szegö Inequality for Universally Prestarlike Functions

Shanmugam, T., Lourthu Mary, J. (2010)

Fractional Calculus and Applied Analysis

MSC 2010: 30C45The universally prestarlike functions of order α ≤ 1 in the slit domain Λ = C [1;∞) have been recently introduced by S. Ruscheweyh. This notion generalizes the corresponding one for functions in the unit disk Δ (and other circular domains in C). In this paper, we obtain the coefficient inequalities and the Fekete-Szegö inequality for such functions.

Fekete–Szegö Problem for a New Class of Analytic Functions Defined by Using a Generalized Differential Operator

M. K. Aouf, R. M. El-Ashwah, A. A. M. Hassan, A. H. Hassan (2013)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In this paper, we obtain Fekete–Szegö inequalities for a generalized class of analytic functions f ( z ) 𝒜 for which 1 + 1 b z D α , β , λ , δ n f ( z ) ' D α , β , λ , δ n f ( z ) - 1 ( α , β , λ , δ 0 ; β > α ; λ > δ ; b * ; n 0 ; z U ) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis.

Fekete-Szegő problem for subclasses of generalized uniformly starlike functions with respect to symmetric points

Nihat Yagmur, Halit Orhan (2014)

Mathematica Bohemica

The authors obtain the Fekete-Szegő inequality (according to parameters s and t in the region s 2 + s t + t 2 < 3 , s t and s + t 2 , or in the region s 2 + s t + t 2 > 3 , s t and s + t 2 ) for certain normalized analytic functions f ( z ) belonging to k -UST λ , μ n ( s , t , γ ) which satisfy the condition ( s - t ) z ( D λ , μ n f ( z ) ) ' D λ , μ n f ( s z ) - D λ , μ n f ( t z ) > k ( s - t ) z ( D λ , μ n f ( z ) ) ' D λ , μ n f ( s z ) - D λ , μ n f ( t z ) - 1 + γ , z 𝒰 . Also certain...

Fully starlike and fully convex harmonic mappings of order α

Sumit Nagpal, V. Ravichandran (2013)

Annales Polonici Mathematici

The hereditary properties of convexity and starlikeness for conformal mappings do not generalize to univalent harmonic mappings. This failure leads to the notions of fully starlike and fully convex mappings. In this paper, properties of fully starlike mappings of order α and fully convex mappings of order α (0 ≤ α < 1) are studied; in particular, the bounds for the radius of full starlikeness of order α as well as the radius of full convexity of order α are determined for certain families of...

Fuzzy differential subordinations connected with the linear operator

Sheza M. El-Deeb, Georgia I. Oros (2021)

Mathematica Bohemica

We obtain several fuzzy differential subordinations by using a linear operator m , γ n , α f ( z ) = z + k = 2 ( 1 + γ ( k - 1 ) ) n m α ( m + k ) - α a k z k . Using the linear operator m , γ n , α , we also introduce a class of univalent analytic functions for which we give some properties.

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