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Majorization problems for classes of analytic functions

Dziok J., Murugusundaramoorthy G., Janani T

Journal of Mathematics and Applications

2015

Vol. 38

49--57

The main object of the present paper is to investigate problems of majorization for certain classes of analytic functions of complex order defined by an operator related to the modified Bessel functions of first kind. These results are obtained by investigating appropriate class of admissible functions. Various known or new special cases of our results are.

Coefficient estimates for certain class of analytic funtions of compelex order and type beta

Aouf M. K., Yamy M. A. Al.

Demonstratio Mathematica

2005

Vol. 38, nr 2

313--322

Let f(x) = z+ sum (for n=k+1 to infinity) belong to the class S(1 - b),beta), b=0,, complex and 0 < beta < 1. In this paper, we determine sharp coefficient estimates for functions of the form f(z)t = zt + sum (for n=t+kan zn to infinity), where t is a positive integer. The results obtained generalize the work of many authors.