A General Formulation of an Extremalization Problem and its Application to Analytic Functions with Positive Real Part

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A Certain Subclass of Analytic Functions with Bounded Positive Real Part

  , T For real numbers  and  such that 0 1      , we denote by   the class of normalized analytic functions which satisfy     Re f z     z   , T   , where denotes the open unit disk. We find some relationships involving functions in the class      . And we estimate the bounds of coefficients and solve Fekete-Szegö problem for functions in this class. Furthermore, we...

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Harmonic Functions with Positive Real Part

In this paper, the class of harmonic functions f = h+ ḡ with positive real part and normalized by f(ζ) = 1, (|ζ| < 1) is studied, where h and g are analytic in U = {z : |z| < 1}. Some properties of this class are searched. Sharp coefficient relations are given for functions in this class. On the other hand, the author make use of Alexander integral transforms of certain analytic functions (whic...

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ژورنال

عنوان ژورنال: Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics

سال: 1971

ISSN: 1303-5991

DOI: 10.1501/commua1_0000000595