Geometric Properties of Certain Classes of Analytic Functions Associated with a q-Integral Operator

被引：46

作者：

Mahmood, Shahid ^{[1
]}

Raza, Nusrat ^{[2
]}

AbuJarad, Eman S. A. ^{[3
]}

Srivastava, Gautam ^{[4
,5
]}

Srivastava, H. M. ^{[6
,7
]}

Malik, Sarfraz Nawaz ^{[8
]}

机构：

[1] Sarhad Univ Sci & Informat Technol, Dept Mech Engn, Ring Rd, Peshawar 25000, Pakistan

[2] Aligarh Muslim Univ, Womens Coll, Math Sect, Aligarh 202001, Uttar Pradesh, India

[3] Aligarh Muslim Univ, Dept Math, Aligarh 202001, Uttar Pradesh, India

[4] Brandon Univ, Dept Math & Comp Sci, 270 18th St, Brandon, MB R7A 6A9, Canada

[5] China Med Univ, Res Ctr Interneural Comp, Taichung 40402, Taiwan

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

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

[8] COMSATS Univ Islamabad, Dept Math, Wah Campus 47040, Islamabad, Pakistan

来源：

SYMMETRY-BASEL | 2019年 / 11卷 / 05期

关键词：

Geometric Function Theory; q-integral operator; q-starlike functions of complex order; q-convex functions of complex order; (delta; q)-neighborhood; Q-STARLIKE; FAMILIES;

D O I：

10.3390/sym11050719

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This article presents certain families of analytic functions regarding q-starlikeness and q-convexity of complex order gamma (gamma is an element of C\{0}). This introduced a q-integral operator and certain subclasses of the newly introduced classes are defined by using this q-integral operator. Coefficient bounds for these subclasses are obtained. Furthermore, the (delta, q)-neighborhood of analytic functions are introduced and the inclusion relations between the (delta, q)-neighborhood and these subclasses of analytic functions are established. Moreover, the generalized hyper-Bessel function is defined, and application of main results are discussed.

引用

页数：14

共 27 条

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