The Range of Variability of some Complex Functionals in The Generalized Caratheodory Class
published by Tishreen University
in 2017
in Mathematics
and research's language is
العربية
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Abstract in English
This paper presents a certain method to determine the range of variability of some functionals defined in Generalized Caratheodory Class ( i.e the class of analytic functions in the unit disk of the form:
where is a non decreasing function on the interval such that ). It has been proved that the range of variability of functional
where is a polynomial in , is the closed disc with and precisely determined . Also the range of variability of some other functional determined
References used
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BABALOLA. T, K. O. OPOOL, O. Iterated integral Transforms of Caratheodory Functions and their Applications to Analytic and Univalent Functions. Tamking Journal of Mathemtics Volume 37, Number 4, 355-366, Winter 2006
BADDOUR,H. About the range of variability of linear functionals in Caratheodory Classe. Damascus univ.journal- No.28 – 1998