• M. K. Aouf (Department of Mathematics, Faculty of Science, Mansoura University, Egypt) ;
  • H. M. Hossen (Department of Mathematics, Faculty of Science, Mansoura University, Egypt) ;
  • A. Y. Lashin (Department of Mathematics, Faculty of Science, Mansoura University, Egypt)
  • Received : 0
  • Accepted : 0
  • Published : 0


The object of the present paper is to give an application of a linear operator L(sub)p(a, c) defined by means of a Hadamard product (or convolution) to a Miller and Mocanu’s theorem.


  1. Trans. Amer. Math. Soc. v.135 Convex and starlike univalent functions D. Bernardi
  2. SIAM J. Math. Anal. v.15 Starlike and prestarlike hypergeometric functions B. C. Carlson;D. B. Shaffer
  3. Proc. Amer. Math. Soc. v.78 A new criterion for p-valent functions R. M. coel;N. S. Sohi
  4. Proc. Amer. Math. Soc. v.16 Some classes of regular univalent functions R. J. Libera
  5. Proc. Amer. Math. Soc. v.17 On the radius of univalence of certatin analytic functions A. E. Livingston
  6. J. Math. Anal. Appl. v.65 Second order differential inequalities in the complex plane S. S. Miller;P. T. Mocanu
  7. Math. Japon. v.34 no.5 An application of certain convolution operator S. Owa;F. Ren
  8. Proc. Amer. Math. Soc. v.49 New criteria for univalent functions S. Ruscheweyh
  9. Math Japon. v.37 On certatin class of multivalent functions H. Saitoh
  10. Math. Japon. v.44 no.1 A linear operator and its applications of first order differential subordinations H. Saitoh
  11. Proc. of Second Inter. Workshop v.23-30 On certain subclasses of analysses of analytic functions involving a linear operator H. Saitoh
  12. Applied Math. Letters v.5 An application of certain integral operator H. Saitoh;S. Owa;T. Sekine;M. Nunokawa;R. Yamakawa