Certain subclasses of meromorphic multivalent q-starlike and q-convex functions

被引:6
作者
Khan, Shahid [1 ]
Hussain, Saqib [2 ]
Darus, Maslina [3 ]
机构
[1] Riphah Int Univ, Dept Math, Islamabad 00, Pakistan
[2] COMSATS Univ Islamabad, Dept Math, Abbottabad Campus, Abbottabad 22060, Pakistan
[3] Univ Kebangsaan Malaysia, Ctr Modelling & Data Sci, Fac Sci & Technol, Bangi 43600, Malaysia
关键词
Meromorphic multivalent functions; meromorphic multivalent q-starlike functions; meromorphic multivalent q-convex functions; subordination; q-differential operator; ANALYTIC-FUNCTIONS; FAMILY;
D O I
10.1515/ms-2022-0043
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we extend the idea of q-derivative (or q-difference) operator for meromorphic p-valent functions and introduce certain new subclasses of meromorphic multivalent q-starlike and q-convex functions. We investigate subordination properties, coefficient inequalities, convolution properties and integral representations. We also derive sufficient conditions for meromorphic multivalent q-starlike and q-convex functions and highlight some known consequence of our main results.
引用
收藏
页码:635 / 646
页数:12
相关论文
共 19 条
[1]   On certain classes of meromorphically multivalent functions associated with the generalized hypergeometric function [J].
Aouf, M. K. ;
Yassen, M. F. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (03) :449-463
[2]   Inclusion relationships for certain subclasses of meromorphic functions associated with a family of multiplier transformations [J].
Cho, NE ;
Kwon, OS ;
Srivastava, HM .
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2005, 16 (08) :647-659
[3]  
Gasper G., 2004, Encycl. Math. Appl., V2nd
[4]  
Hussain S, 2017, J COMPLEX ANAL, DOI 10.1155/2017/2826514
[5]   q-difference equations. [J].
Jackson, FH .
AMERICAN JOURNAL OF MATHEMATICS, 1910, 32 :305-314
[6]  
Jackson FH., 1910, Quart. J. Pure Appl. Math, V41, P193, DOI DOI 10.1017/S0080456800002751
[7]   Some class of analytic functions related to conic domains [J].
Kanas, Stanislawa ;
Raducanu, Dorina .
MATHEMATICA SLOVACA, 2014, 64 (05) :1183-1196
[8]   A SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS AND A CORRESPONDING SUBCLASS OF STARLIKE FUNCTION WITH FIXED COEFFICIENT ASSOCIATED WITH q-ANALOGUE OF RUSCHEWEYH OPERATOR [J].
Khan, Shahid ;
Hussain, Saqib ;
Zaighum, Muhammad A. ;
Darus, Maslina .
MATHEMATICA SLOVACA, 2019, 69 (04) :825-832
[9]   NEW SUBCLASS OF ANALYTIC FUNCTIONS IN CONICAL DOMAIN ASSOCIATED WITH RUSCHEWEYH q-DIFFERENTIAL OPERATOR [J].
Khan, Shahid ;
Hussain, Saqib ;
Zaighum, Muhammad Asad ;
Khan, Muhammad Mumtaz .
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2018, 16 (02) :239-253
[10]  
Khan S, 2017, BULL MATH ANAL APPL, V9, P37