SOME PROPERTIES OF CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS BY USING GENERALIZED RUSCHEWEYH DERIVATIVE OPERATOR

被引：18

作者：

Deniz, Erhan ^{[1
]}

Orhan, Halit ^{[1
]}

机构：

[1] Ataturk Univ, Fac Sci, Dept Math, TR-25240 Erzurum, Turkey

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2010年 / 60卷 / 03期

关键词：

neighborhoods; partial sums; integral means; generalized Ruscheweyh derivative; UNIVALENT-FUNCTIONS; CONVEX-FUNCTIONS; NEIGHBORHOODS; INEQUALITIES; STARLIKE;

D O I：

10.1007/s10587-010-0064-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By making use of the known concept of neighborhoods of analytic functions we prove several inclusions associated with the (j, delta)-neighborhoods of various subclasses of starlike and convex functions of complex order b which are defined by the generalized Ruscheweyh derivative operator. Further, partial sums and integral means inequalities for these function classes are studied. Relevant connections with some other recent investigations are also pointed out.

引用

页码：699 / 713

页数：15

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