On Certain Janowski Symmetrical Functions with Negative Coefficients


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Authors

  • K. Renuka Devi Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore, India
  • Fuad. S. Al Sarari Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore, India
  • S. Latha Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore, India

Keywords:

Janowski functions, Subordination, Extreme points, $(j,k)$-symmetric points

Abstract

In this paper we study a class $\mathcal{{S}}^{(j,k)}(A,B)$ of analytic functions with negative coefficients defined by using notions of Janowski symmetrical functions. We derive necessary and sufficient conditions, extreme point results and integral means inequalities for functions belonging to this class.

 

 

Author Biographies

K. Renuka Devi, Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore, India

 

 

Fuad. S. Al Sarari, Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore, India

 

 

S. Latha, Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore, India

 

 

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Published

15-03-2018

How to Cite

K. Renuka Devi, Fuad. S. Al Sarari, & S. Latha. (2018). On Certain Janowski Symmetrical Functions with Negative Coefficients. International Journal of Mathematics And Its Applications, 6(1 - E), 847–852. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1153

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Section

Research Article