DOI QR코드

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ON A CLASS OF ANALYTIC FUNCTIONS INVOLVING RUSCHEWEYH DERIVATIVES

  • Yang, Dinggong (Department of Mathematics, Suzhou University, P. R. China) ;
  • Liu, Jinlin (Department of Mathematics, Yangzhou University, P. R. China)
  • Published : 2002.02.01

Abstract

Let A(p, k) (p, k$\in$N) be the class of functions f(z) = $z^{p}$ + $a_{p+k}$ $z^{p+k}$+… analytic in the unit disk. We introduce a subclass H(p, k, λ, $\delta$, A, B) of A(p, k) by using the Ruscheweyh derivative. The object of the present paper is to show some properties of functions in the class H(p, k, λ, $\delta$, A, B). B).

References

  1. Proc. Amer. Math. Soc. v.49 New criteria for univalent functions S. Ruscheweyh https://doi.org/10.1090/S0002-9939-1975-0367176-1
  2. Bull. Austral. Math. Soc. v.35 On certain inequalities for some regular functions defined on the unit disc M. P. Chen;I. R. Lan https://doi.org/10.1017/S000497270001337X
  3. Michigan Math. J. v.28 Differential subordinations and univalent functions S. S. Miller;P. T. Mocanu https://doi.org/10.1307/mmj/1029002507
  4. Indian J.Pure Appl. Math. v.11 New criteria for p-valence R. M. Goel;N. S. Sohi
  5. Internat. J. Math. & Math. Sci. v.19 A remark on certain p-valent functions M. K. Aouf;H. E. Darwish https://doi.org/10.1155/S0161171296000555

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  3. Properties of certain analytic multivalent functions defined by a linear operator vol.58, pp.6, 2009, https://doi.org/10.1016/j.camwa.2008.10.100