ON A CLASS OF ANALYTIC FUNCTIONS INVOLVING THE SALAGEAN DIFFERENTIAL OPERATOR

Main Article Content

S. ABDUL HALIM

Abstract




Weintroduce the class $B_n(\alpha$) consisting of functions.analytic in the unit disc. In this paper, we give some properties of this class as well as considering some integral operators.




Article Details

How to Cite
HALIM, . S. A. (1992). ON A CLASS OF ANALYTIC FUNCTIONS INVOLVING THE SALAGEAN DIFFERENTIAL OPERATOR. Tamkang Journal of Mathematics, 23(1), 51–58. https://doi.org/10.5556/j.tkjm.23.1992.4526
Section
Papers

References

S. Abdul Halim and D. K. Thomas, "A Note on Bazilevic Functions", Internat. J. Math. and Math. Sci. To appear .

I. E. Bazilevic, "On a case of integrability in quadratures of the Loewner - Kufarev equation", Math. Sb. N. S. 37 (1955), pp.471-476.

R. J. Libera, "Some classes of regular Univalent functions", Proc. Amer. Math. Soc. 16 (1965), pp. 755-758.

G. S. Salagean, "Subclasses of univalent functions", Lecture notes in Math 1013.(1983), pp. 362-372.

R. Singh, "On Bazilevic functions", Proc. Amem. Math. Soc. 38(2) (1973), pp. 261-271.

D. K. Thomas, "On a subclass of Bazilevic functions", lnternat. J. Math. and Math. sci. 8(4) (1985), pp . 779-783.