Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON THE INFLUENCE OF THE SECOND COEFFICIENT ON STARLIKE AND CONVEX FUNCTIONS OF COMPLEX ORDER

  • PATEL, J. (Dept. of Mathematics, Utkal University) ;
  • ACHARYA, M. (Dept. of Mathematics, Utkal University)
  • Received : 1995.10.30
  • Published : 1996.07.30
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Abstract

In this paper, we study how the second coefficient in the power series expansion of functions in $P_n$(a; b, M), $F_n$(a; b, M) and $G_n$(a; b, M) influences certain properties like distortion, ${\gamma}-spiral$ radius and radius of starlikeness of these classes.

Keywords

References

  1. The Yokohama Math. Journ. v.34 Ahuja, O.P.
  2. Internat. J. Math. and Math. Sci. v.12 Bounded spiral-like functions with fixed second coefficient Aouf, M.K.
  3. J. Nat. Sci. and Maths. v.27 Coefficient result for some classes of meromorphic functions Aouf, M.K.
  4. Proc. Amer. Math. Soc. v.49 Regular function f(z) for which zf'(z) is ${\alpha}-\;spirallike$ Chichra, P.N.
  5. Publ. Math. Debrecen v.23 A subclasses of ${\alpha}-spiral$ functions Goel, R.M.
  6. Rev. Roum. De. Mathem. Pure and Appl. v.23 On starlike functions of order ${\alpha}\;and\;{\beta}$ type Juneja, O.P.;Mogra, M.L.
  7. Houston J. Math. v.8 Distortion theorems for some subclasses of analytic functions Kapoor, G.P.;Mishra, A.K.
  8. Rend. Mat. VI, Ser. v.9 Bounded Robertson functions Kulshrestha, P.K.
  9. Cand. J. Math. v.19 Univalent ${\alpha}-spiral$ functions Libera, R.J.
  10. Trans. Amer. Math. Soc. v.166 Regular functions f(z) for which zf'(z) is ${\alpha}-spiral$ Libera, R.J.;Ziegler, M.R.
  11. The Yokohama Math. J. v.29 On spirallike functions of order ${\alpha}\;and\;type\;{\beta}$ Mogra, M.L.;Ahuja, O.P.
  12. Proc. Indian Acad. Sci. (Math. Sci.) v.92 Bounded starlike functions of complex order Nasr, M.A.;Aouf, M.K.
  13. Mansoura Science Bull. Egypt. v.10 Bounded convex functions of complex order Nasr, M.A.;Aouf, M.K.
  14. Proc. Amer. Math. Soc. v.16 Radii of starlikeness and close-to-convexity Robertson, M.S.
  15. Rocky Mountain J. Math. v.7 Spiral functions and related classes with fixed second coefficient Silverman, H.;Telage, D.N.