A SUBORDINATION THEOREM WITH APPLICATIONS TO ANALYTIC FUNCTIONS

被引：0

作者：

Billing, Sukhwinder Singh ^{[1
]}

机构：

[1] BBSB Engn Coll, Dept Appl Sci, Fatehgarh Sahib 140407, Punjab, India

来源：

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 3卷 / 03期

关键词：

Analytic function; p-valently close to convex function; Differential subordination;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a subordination theorem is obtained and its applications to multivalent functions are discussed. It is shown that the results of this paper extend and unify some known results regarding p-valently closeto-convex functions. Some results for univalent close-to-convex functions are obtained as special cases.

引用

页码：1 / 8

页数：8

共 5 条

[1] P-VALENT CLOSE-TO-CONVEX FUNCTIONS
LIVINGSTON, AE
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 115 (03) : 161 - +
[2] Miller S. S., 2000, SERIES MONOGRAPHS TX, V225
[3] Noshiro K., 1934, J FAC SCI HOKKAIDO U, V2, P129, DOI DOI 10.14492/HOKMJ/1531209828
[4] On certain sufficient conditions for close-to-convexity
Patel, J.
Cho, N. E.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (01) : 369 - 378
[5] On the higher derivatives at the boundary in conformal mapping
Warschawski, Stefan E.
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1935, 38 (1-3) : 310 - 340

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