Some properties of differential operator to the subclass of univalent functions with negative coefficients
Volume 29, Issue 3, pp 295305
https://doi.org/10.22436/jmcs.029.03.08
Publication Date: November 02, 2022
Submission Date: April 10, 2022
Revision Date: April 28, 2022
Accteptance Date: May 20, 2022
Authors
K. Sridevi
 Department of Mathematics, Dr. B. R. Ambedkar Open University, Hyderabad 500 033, Telangana, India.
T. Swaroopa Rani
 Department of Mathematics, Dr. B. R. Ambedkar Open University, Hyderabad 500 033, Telangana, India.
Abstract
Various function theorists have successfully defined and investigated different kinds of
analytic functions. The applications of such functions have played significant roles in geometry
function theory as a field of complex analysis. In this work, therefore, a certain subclass of univalent
analytic functions is defined using a generalized differential operator and
we have discussed a subclass \(TS_{\sigma, \delta} ^{~ \wp} (\vartheta ,\hbar ,\ell )\) of univalent functions with negative coefficients related to differential operator in the unit disk \( \mathbb { U }=\left \{{z \in \mathbb{ C }:z<1}\right \}\). We obtain basic properties like coefficient inequality, distortion and covering theorem, radii of starlikeness, convexity and closetoconvexity, extreme points, Hadamard product, and closure theorems for functions belonging to our class.
Share and Cite
ISRP Style
K. Sridevi, T. Swaroopa Rani, Some properties of differential operator to the subclass of univalent functions with negative coefficients, Journal of Mathematics and Computer Science, 29 (2023), no. 3, 295305
AMA Style
Sridevi K., Swaroopa Rani T., Some properties of differential operator to the subclass of univalent functions with negative coefficients. J Math Comput SCIJM. (2023); 29(3):295305
Chicago/Turabian Style
Sridevi, K., Swaroopa Rani, T.. "Some properties of differential operator to the subclass of univalent functions with negative coefficients." Journal of Mathematics and Computer Science, 29, no. 3 (2023): 295305
Keywords
 Univalent
 differential operator
 starlike
 extreme points
 Hadamard product
MSC
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