منابع مشابه
Cesáro partial sums of certain analytic functions
The aim of the present paper is to consider geometric properties such as starlikeness and convexity of the Cesáro partial sums of certain analytic functions in the open unit disk. By using the Cesáro partial sums, we improve some recent results including the radius of convexity. 1 Introduction Let U := {z : |z| < } be a unit disk in the complex plane C and let H denote the space of all analyti...
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The partial sums f3(z) of some extermal functions for various classes S∗, K and R of starlike functions, convex functions and functions with positive real part in the open unit disk U, respectively, are discussed. In general, the partial sums can not preserve the same character as the initial functions. The object of the present paper is to discuss the radius problems for partial sums of some e...
متن کاملPartial Sums of Certain Meromorphic Functions
The purpose of the present paper is to establish some results concerning the partial sums of meromorphic starlike and meromorphic convex functions analogous to the results due to H. Silverman [J. Math. Anal. Appl. 209 (1997), 221-227]. Furthermore, we consider the partial sums of certain integral operator.
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In this paper, we study the ratio of harmonic multivalent functions to its sequences of partial sums.
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The object of the present paper is to consider the starlikeness and convexity of partial sums of certain analytic functions in the open unit disk. 2000 Mathematics Subject Classification. Primary 30C45.
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 1998
ISSN: 0001-5962
DOI: 10.1007/bf02392880