Successive coefficients for spirallike and related functions

被引：10
|
作者：
Arora, Vibhuti [1 ]
Ponnusamy, Saminathan [2 ]
Sahoo, Swadesh Kumar [1 ]
机构：
[1] Indian Inst Technol Indore, Discipline Math, Khandwa Rd, Indore 453552, Madhya Pradesh, India
[2] Indian Inst Technol Madras, Dept Math, Chennai 600036, Tamil Nadu, India
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 04期
关键词：
Convex functions; Close-to-convex functions; Starlike functions; Spirallike functions; Successive coefficients; INEQUALITY;
D O I：
10.1007/s13398-019-00664-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the family of all analytic and univalent functions in the unit disk of the form f (z) = z + a2z2 + a3z3 + center dot center dot center dot. Our objective in this paper is to estimate the difference of the moduli of successive coefficients, that is vertical bar an+ 1 vertical bar - vertical bar an vertical bar , for f belonging to the family of. - spirallike functions of order a. Our particular results include the case of starlike and convex functions of order a and other related class of functions.
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页码：2969 / 2979
页数：11
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