SOME PROPERTIES FOR CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS INVOLVING DERIVATIVE OPERATOR

Authors

  • Ebtisam Ali Eljamal Al-Mergeb University, Faculty of Science, Department of Mathematics Al-Khoms, Libya
  • Maslina Darus University Kebangsaan Malaysia, School of Mathematical Sciences, Faculty Of Science and Technology, Bangi, Malaysia

DOI:

https://doi.org/10.20319/mijst.2016.s11.318324

Keywords:

Analytic Functions, Derivative Operator, Subordination

Abstract

In this paper, we introduce a subclass of analytic functions by using the subordination concept between this function and generalized derivative operator. Some interesting properties of this class are obtained. 

References

F. M. Al-Oboudi, On univalent functions defined by a generalized Salagean operator, In-ternat. J. Math. Math. Sci, 27(2004), 1429- 1436. http://dx.doi.org/10 .1155/S0 161 171204108090

K. Al-Shaqsi and M. Darus, On univalent functions with respect to k-sum metric points defined by a generalization Ruscheweyh derivative operators, Jour. Anal. Appl, 7(1) (2009), 53-61.

G. S. Salagean, Subclasses of univalent functions, Lecture Notes in Math., 1013, 362-372, Springer-Verlag, Heideberg, 1983.

S.Ruscheweyh, New criteria for univalent function, Proc. Amer. Math. Soc, 49(1975), 109-115. http://dx.doi.org/10.1090/S0002-9939-1975-0367176-1

M. Darus and K. Al-Shaqsi, Differential sandwich theorems with generalized derivative op-erator, Int. J. Comput. Math. Sci, 22(2008), 75-78.

E. Eljamal and M Darus, Subordination results defined by a new differential operator, Acta Universitatis Apulensis, 27(2011), in press.

M. S. Liu, On certain class of analytic functions defined by differential subordination, Acta Math. Sci. 22(2002), 388-392.

S. S. Miller and P. T. Mocanu, Differential subordination: Theory and Applications, in : Series in Pure and Applied Mathematics, vol. 225, Marcel Dekker, New York 2000.

S. S. Miller and P. T. Mocanu, Subordinats of differential superordinations, complex Var. 48(2003), 815-826. http://dx.doi.org/10.1080/02781070310001599322

T. N. Shanmugam, V. Ravichandran and S. Sivasubramanian, Differential sandwich theorems for subclasses of analytic functions, Aust. J. Math Anal Appl. 3(2006),1-11.

S. M. Khairnar and Meena More, On a subclass of multivalent β- uniformly starlike and convex functions defined by liner operator, LAENG International Journal of Applied Mathematics, 39:3(2009), IJAM 39-06.

S. M. Khairnar and Meena More, A subclass of uniformly convex functions assciated with certain fractional calculus operator, LAENG International Journal of Applied Mathematics, 39:3 (2009), IJAM 39-07.

Downloads

Published

2015-07-01

How to Cite

Eljamal, E. A., & Darus, M. (2015). SOME PROPERTIES FOR CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS INVOLVING DERIVATIVE OPERATOR. MATTER: International Journal of Science and Technology, 1(1), 318–326. https://doi.org/10.20319/mijst.2016.s11.318324