Subordination results for a class of analytic functions

Author:

Aouf M. K.1,Frasin B. A.2,Murugusundaramoorthy G.3

Affiliation:

1. Department of Mathematics, Faculty of Science , Mansoura University , Mansoura 35516 , Egypt .

2. Faculty of Science, Department of Mathematics , Al al-Bayt University , Jordan

3. Department of Mathematics,School of Advanced Sciences , Vellore Institute of Technology (Deemed to be University) , Vellore - 632014 , India .

Abstract

Abstract In this paper, we derive several subordination results and integral means result for certain class of analytic functions with complex order defined by means of q-differential operator. Some interesting corollaries and consequences of our results are also considered

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Reference41 articles.

1. [1] H. Aldweby and M. Darus, Some subordination results on q -analogue of Ruscheweyh differential operator, Abst. Appl. Anal., 2014, (2014), Article ID 958563, 1-6.

2. [2] M. H. Annaby and Z.S.Mansour, q-Fractional Calculus and Equations, Lecture Notes in Maths, 2056, Springer-Verlag Berlin, Heidelberg 2012.

3. [3] M. K. Aouf, A. Shamandy, A. O. Mostafa and F. El-Emam, Subordination results associated with b-uniformly convex and starlike functions, Proc. Pakistan Acad. Sci. 46(2),(2009), 97-101.

4. [4] M. K. Aouf, Bounded p-valent Robertson functions of order a, Indian J. Pure Appl. Math 16(7),(1985), 775-790.

5. [5] M. K. Aouf, Bounded spiral-like functions with fixed second coefficients Inter.J.Math.Math. Sci. 12(1), (1989), 113-118.

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