ON SUBCLASSES OF UNIVALENT FUNCTIONS HAVING NEGATIVE COEFFICIENT USING RUSAL DIFFERENTIAL OPERATOR

T. G. Thange and S. S. Jadhav

  DOI:
  https://doi.org/10.37418/amsj.9.4.53

Full Text

In this paper we introduced new classes $DA(\eta,\xi,\alpha,\beta,\partial,\lambda)$ \& \newline $DA(\eta,\xi,\alpha,\beta,\partial,\lambda,c)$ of normalized, analytic, univalent functions on unit disc $\Delta$. Using Rusal differential operator and neighbourhood property we derived certain inclusions with given classes. Some examples on neighbourhood of identity functions are discussed. Two subclasses of $DA(\eta,\xi,\alpha,\beta,\partial,\lambda)$ are also identified.


Keywords:
Univalent function, Analytic function.