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On Certain Class of Multivalent Functions Involving the Cho-Kwon-Srivastava Operator

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In this paper a new subclass of multivalent functions with negative coefficients defined by Cho-Kwon-Srivastava operator is introduced. Coefficient estimate and inclusion relationships involving the neighborhoods of p-valently analytic functions are investigated for this class. Further subordination result and results on partial sums for this class are also found.

Abstract

In this paper a new subclass of multivalent functions with negative coefficients defined by Cho-Kwon-Srivastava operator is introduced. Coefficient estimate and inclusion relationships involving the neighborhoods of p-valently analytic functions are investigated for this class. Further subordination result and results on partial sums for this class are also found.

참고문헌 (10)

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  3. N. E. Cho, "Inclusion relationships and argument properties for certain subclass of multivalent functions associated with a family of linear operators", J. Math. Anal. Appl., 292, pp.470~483 (2004)
  4. A. W. Goodman, "Univalent functions and non-analytic curves", Proc. Amer. Math. Soc., 8, pp.598~601 (1957)
  5. S. Owa, "On the distortion Theorems", Kyungpook Math. J., 18, pp.53~59 (1978)
  6. B. A. Patel, "On convex and extreme points of p-valent starlike and convex classes with applications", Bull. Math. Soc. Sci. Math. R. S. Roumanie(N. S.), 27(5), pp.145~160 (1983)
  7. R. K. Raina, "Inclusion and neighborhood properties of some analytic and multivalent functions", J. Inequal. Pure. Appl. Math., 7(1), pp.1~6 (2006)
  8. Ruscheweyh, "Neighborhoods of univalent functions", Proc. Amer. Math. Soc., 81, pp.521~527 (1981)
  9. H. Saitoh, "A Linear operator and applications of the first order differential subordinations", Math. Japan., 44, pp.31~38 (1996)
  10. H. S. Wilf, "Subordinating factor sequence for convex maps of the unit circle", Proc. Amer. Math. Soc., 12, pp.689~693 (1961)

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