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Application of generalized Ruscheweyh derivatives on p-valent functions

Parihar H. S., Agarwal R.

Journal of Mathematics and Applications

2011

Vol. 34

75--86

In this paper, we define a new class of p-valent analytic functions with finitely many coefficients by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator. Some properties of this class are also investigated. e.g. Coefficient estimates, convex combination, arithmatic mean, extreme points, radii of starlikeness and convexity. Many known results are as a special case of our results.