A few results on generalized Janowski type functions associated with (j, k)-symmetrical functions

被引：9

作者：

Al Sarari, F. S. M. ^{[1
]}

Frasin, B. A. ^{[2
]}

Al-Hawary, T. ^{[3
]}

Latha, S. ^{[4
]}

机构：

[1] Univ Mysore, Dept Studies Math, Mysore 570005, Karnataka, India

[2] Al Al Bayt Univ, Fac Sci, Dept Math, Mafraq, Jordan

[3] Al Balqa Appl Univ, Dept Appl Sci, Ajloun Coll, Ajloun, Jordan

[4] Univ Mysore, Yuvarajas Coll, Dept Math, Mysore 570005, Karnataka, India

来源：

ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA | 2016年 / 8卷 / 02期

关键词：

analytic functions; alpha-starlike; alpha-close-to-convex; differential sub-ordination; (j; k)-symmetric points;

D O I：

10.1515/ausm-2016-0012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of the present article is to introduce and study new subclass of Janowski type functions defined using notions of Janowski functions and (j, k)-symmetrical functions. Certain interesting coefficient inequalities, sufficiency criteria, distortion theorem, neighborhood property are investigated for this class.

引用

页码：195 / 205

页数：11

共 10 条

[1] Al Sarari F., 2013, OCTAG MATH MAG, V21, P556
[2] Aouf M. K., 1987, INT J MATH MATH SCI, V1, P733
[3] Duren P. L, 1983, GRADUATE TEXTS MATH, V259
[4] Goodman A.W., 1957, P AM MATH SOC, V8, P598, DOI DOI 10.1090/S0002-9939-1957-0086879-9
[5] Janowski W., 1973, I ANN POLON MATH, V28, P297
[6] Liczberski P., 1995, MATH BOHEM, V120, P13, DOI DOI 10.21136/MB.1995.125897
[7] Ohsang K., 2013, COMMUN KOREAN MATH S, V28, P134
[8] NEIGHBORHOODS OF UNIVALENT-FUNCTIONS
RUSCHEWEYH, S
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 81 (04) : 521 - 527
[9] Sakaguchi K., 1959, J MATH SOC JPN, V11, P72, DOI DOI 10.2969/JMSJ/01110072
[10] ON A CLASS OF FUNCTIONS SCHLICHT IN THE UNIT CIRCLE
SCHILD, A
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1954, 5 (01) : 115 - 120

← 1 →