TY - JOUR
AU - Sridevi, K.
AU - Swaroopa Rani, T.
PY - 2023
TI - Some properties of differential operator to the subclass of univalent functions with negative coefficients
JO - Journal of Mathematics and Computer Science
SP - 295--305
VL - 29
IS - 3
AB - 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 close-to-convexity, extreme points, Hadamard product, and closure theorems for functions belonging to our class.
SN - ISSN 2008-949X
UR - https://doi.org/10.22436/jmcs.029.03.08
DO - 10.22436/jmcs.029.03.08
ID - Sridevi2023
ER -