Geometric Properties of Generalized Bessel Functions

被引：0

作者：

Mondal, Saiful R. ^{[1
,2
]}

Swaminathan, A. ^{[2
]}

机构：

[1] Univ Sains Malaysia, Sch Math Sci, Usm Penang 11800, Malaysia

[2] Indian Inst Technol, Dept Math, Roorkee 247667, Uttar Pradesh, India

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2012年 / 35卷 / 01期

关键词：

Convex functions; univalent functions; starlike functions; Bessel functions; hypergeometric functions; STARLIKE FUNCTIONS; HYPERGEOMETRIC-FUNCTIONS; MEROMORPHIC FUNCTIONS; UNIVALENT-FUNCTIONS; TRIGONOMETRIC SUMS; SUBORDINATION; ORDER; SUPERORDINATION; CONVOLUTION; CONJECTURE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, the generalized Bessel functions with their normalization are considered. Various conditions are obtained so that these Bessel functions have certain geometric properties including close-to-convexity (univalency), starlikeness and convexity in the unit disc. Results obtained for certain classes are new and for the other classes for which similar results exist in the literature, examples are given to support that these results are better than the existing ones.

引用

页码：179 / 194

页数：16

共 34 条

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