Fekete-Szegő functional for non-Bazilevič functions.

Tuneski, Nikola; Darus, Maslina

Displaying similar documents to “Fekete-Szegő functional for non-Bazilevič functions.”

The univalence od a new integral operator.

Pescar, Virgil (2010)

Acta Universitatis Apulensis. Mathematics - Informatics

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Order of certain classes of analytic and univalent functions using Ruscheweyh derivative.

Frasin, B.A., Oros, Gheorghe (2004)

General Mathematics

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A study on the generalization of Janowski functions in the unit disc.

Polatoglu, Y., Bolcal, M., Sen, A., Yavuz, E. (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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On a radius problem concerning a class of close-to-convex functions

Richard Fournier (1995)

Banach Center Publications

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The problem of estimating the radius of starlikeness of various classes of close-to-convex functions has attracted a certain number of mathematicians involved in geometric function theory ([7], volume 2, chapter 13). Lewandowski [11] has shown that normalized close-to-convex functions are starlike in the disc $| z | < 4 \sqrt 2 - 5$ . Krzyż [10] gave an example of a function $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n}$ , non-starlike in the unit disc , and belonging to the class H = f | f’() lies in the right half-plane. More generally let H* = f |...

Starlikeness of functions satisfying a differential inequality

Rosihan M. Ali, S. Ponnusamy, Vikramaditya Singh (1995)

Annales Polonici Mathematici

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In a recent paper Fournier and Ruscheweyh established a theorem related to a certain functional. We extend their result differently, and then use it to obtain a precise upper bound on α so that for f analytic in |z| < 1, f(0) = f'(0) - 1 = 0 and satisfying Re{zf''(z)} > -λ, the function f is starlike.