Harmonic univalent functions defined by post quantum calculus operators

被引:10
作者
Ahuja, Om P. [1 ]
Cetinkaya, Asena [2 ]
Ravichandran, V [3 ]
机构
[1] Kent State Univ, Dept Math, Burton, OH 44021 USA
[2] Istanbul Kultur Univ, Dept Math & Comp Sci, Istanbul, Turkey
[3] Natl Inst Technol, Dept Math, Tiruchirappalli 620015, Tamil Nadu, India
关键词
(p; q)-calculus; q-calculus; q)-Salagean harmonic function; Salagean differential operator;
D O I
10.2478/ausm-2019-0001
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study a family of harmonic univalent functions in the open unit disc defined by using post quantum calculus operators. We first obtained a coefficient characterization of these functions. Using this, coefficients estimates, distortion and covering theorems were also obtained. The extreme points of the family and a radius result were also obtained. The results obtained include several known results as special cases.
引用
收藏
页码:5 / 17
页数:13
相关论文
共 18 条
[1]  
Ahuja O.P., 2005, J. Ineq. Pure Appl. Math., V6, P122
[2]  
Ahuja O.P., 2019, J. Comput. Anal. Appl, V26, P639
[3]  
Ahuja O. P., 2014, MATH STUDENT, V83, P125
[4]  
Ahuja O. P., 2018, PREPRINT
[5]  
CLUNIE J, 1984, ANN ACAD SCI FENN-M, V9, P3
[6]  
Duren Peter, 2004, Harmonic Mappings in the Plane, V156
[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]  
Jackson F. H., 1909, Earth Environ, Trans. R. Soc. Edinburgh, V46, P253, DOI [10.1017/s0080456800002751, DOI 10.1017/S0080456800002751, 10.1017/S0080456800002751]
[10]   q-difference equations. [J].
Jackson, FH .
AMERICAN JOURNAL OF MATHEMATICS, 1910, 32 :305-314