Certain Subclasses of Starlike Functions of Complex Order Involving Generalized Hypergeometric Functions

@article{Murugusundaramoorthy2010CertainSO,
  title={Certain Subclasses of Starlike Functions of Complex Order Involving Generalized Hypergeometric Functions},
  author={G. Murugusundaramoorthy and N. Magesh},
  journal={Int. J. Math. Math. Sci.},
  year={2010},
  volume={2010},
  pages={178605:1-178605:12}
}
Making use of the generalized hypergeometric functions, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients and obtain coefficient estimates, extreme points, the radii of close-to-convexity, starlikeness and convexity, and neighborhood results for the class . In particular, we obtain integral means inequalities for the function that belongs to the class in the unit disc. 
13 Citations

Topics from this paper

Sharp coefficient estimates for certain subclasses of starlike functions of complex order
  • 9
On a certain subclass of analytic functions defined by a differential operator
  • Highly Influenced
  • PDF
ON A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS WITH DIFFERENTIAL EQUATION AND SUBORDINATION
  • Highly Influenced
  • PDF
...
1
2
...

References

SHOWING 1-10 OF 26 REFERENCES
...
1
2
3
...