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On a class of multivalent functions defined by generalized Ruscheweyh derivatives involving a general fractional derivative operator. (English) Zbl 1128.30008
Summary: Here, a new class of p-valent analytic functions is defined by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator. The coefficient bounds, extreme points, integral representations, distortion bounds, radius of starlikeness and convexity and neighbourhood results are obtained for this class. Our results provide generalization of recent results due to Shams et al. (2003), Rosy et al. (2003) and others.
MSC:
30C45Special classes of univalent and multivalent functions