On A Certain Subclass of Meromorphic Functions Defined By Salagean Operator Fixing Some Taylor Coefficients

Sitavani Venkata *, Vedanabhatla Srinivas**
* Department of Mathematics, Nalla Malla Reddy Engineering College, Hyderabad, Telangana, India.
** Department of Mathematics, Dr. B. R. Ambedkar Open University, Hyderabad, Telangana, India.
Periodicity:July - December'2021
DOI : https://doi.org/10.26634/jmat.10.2.18300

Abstract

In the present paper, an interesting subclass of meromorphic univalent functions defined on a punctured unit disk E = {Z:|z|1>1}.  has been considered and studied. A sufficient condition for these functions to be univalent and sense preserving in the class has been obtained. Certain geometric properties of the functions of the subclass of meromorphic functions has been discussed, such as coefficient inequality, starlike-ness, convexity, growth and distortion, convex linear combination and extreme points of the functions of the class by fixing some Taylor coefficients.

Keywords

Univalent Functions, Geometric Properties, Coefficient Inequality, Fixed Coefficients.

How to Cite this Article?

Venkata, S., & Srinivas, V. (2021). On A Certain Subclass of Meromorphic Functions Defined By Salagean Operator Fixing Some Taylor Coefficients. i-manager's Journal on Mathematics, 10(2), 37-44. https://doi.org/10.26634/jmat.10.2.18300

References

[3]. Challab, K. A., Darus, M., & Ghanim, F. (2017). On a certain subclass of meromorphic functions defined by a new linear differential operator. Journal of Mathematical and Fundamental Sciences, 49(3), 269-282.
[5]. Eker, S. S., & Owa, S. (2009). Certain classes of analytic functions involving Salagean operator. Journal of Inequalities in Pure and Applied Mathematics, 10(1), 12–22.
[7]. Goodman, A. W. (1983). Univalent functions (Vols. 1–2). Tampa, FL: Mariner.
[9]. Kavitha, S., Sivasubramanian, S., & Muthunagai, K. (2010). A new subclass of meromorphic function with positive coefficients. Bulletin of Mathematical Analysis and Applications, 2(3), 109-121.
[10]. Owa, S., & Srivastava, H. M. (1987). A class of analytic functions with fixed finitely many coefficients. Journal of Faculty of Science and Technology Kinki University, 31, 1-10.
If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
USD EUR INR USD-ROW
Online 15 15

Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.