# 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. 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
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. Indian J.Pure Appl. Math. v.11 New criteria for p-valence R. M. Goel;N. S. Sohi
4. Michigan Math. J. v.28 Differential subordinations and univalent functions S. S. Miller;P. T. Mocanu https://doi.org/10.1307/mmj/1029002507
5. Proc. Amer. Math. Soc. v.49 New criteria for univalent functions S. Ruscheweyh https://doi.org/10.1090/S0002-9939-1975-0367176-1

#### Cited by

1. Notes on Jung–Kim–Srivastava integral operator vol.294, pp.1, 2004, https://doi.org/10.1016/j.jmaa.2004.01.040
2. Some results on certain classes of multivalently analytic functions based on differential subordination involving a convolution structure vol.60, pp.4, 2010, https://doi.org/10.2478/s12175-010-0026-6
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