Coefficient inequalities for q-starlike functions associated with the Janowski functions

被引：125

作者：

Srivastava, H. M. ^{[1
,2
]}

Khan, Bilal ^{[3
]}

Khan, Nazar ^{[3
]}

Ahmad, Qazi Zahoor ^{[3
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[3] Abbottabad Univ Sci & Technol, Dept Math, Abbottabad 22010, Pakistan

来源：

HOKKAIDO MATHEMATICAL JOURNAL | 2019年 / 48卷 / 02期

关键词：

Analytic functions; Univalent functions; Convex and q-convex functions; Starlike and q-starlike functions; q-Derivative operator; Basic (or q-) hypergeometric functions;

D O I：

10.14492/hokmj/1562810517

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main purpose of this investigation is to find several coefficient inequalities and a sufficient condition for q-starlike functions which are associated with the Janowski functions. Relevant connections of the results presented in this paper with those in a number of other related works on this subject are also pointed out.

引用

页码：407 / 425

页数：19

共 16 条

[1] A generalization of starlike functions of order alpha [J].

Agrawal, Sarita ;

Sahoo, Swadesh Kumar .

HOKKAIDO MATHEMATICAL JOURNAL, 2017, 46 (01) :15-27

[2]

Baricz A, 2014, J CLASS ANAL, V5, P115

[3]

Duren P.L., 1983, UNIVALENT FUNCTIONS, V259

[4]

Goodman A. W., 1983, UNIVALENT FUNCTIONS, VII

[5]

Goodman A.W., 1983, Univalent functions, V1

[6]

Hayami T., 2009, GEN MATH, V17, P29

[7]

Ismail M.E.H., 1990, COMPLEX VAR, V14, P77, DOI [10.1080/17476939008814407, DOI 10.1080/17476939008814407]

[8]

Jackson F. H., 1910, Quart. J. Pure Appl. Math., V41, P193, DOI DOI 10.1017/S0080456800002751

[9] q-difference equations. [J].

Jackson, FH .

AMERICAN JOURNAL OF MATHEMATICS, 1910, 32 :305-314

[10]

Janowski W., 1973, Ann. Pol. Math, V3, P297, DOI [10.4064/ap-28-3-297-326, DOI 10.4064/AP-28-3-297-326]

← 1 2 →