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Paper's Title:

Fractional class of analytic functions Defined Using q-Differential Operator


K . R. Karthikeyan, Musthafa Ibrahim and S. Srinivasan

Department of Mathematics and Statistics,
Caledonian College of Engineering, Muscat,
Sultanate of Oman.

College of Engineering,
University of Buraimi, Al Buraimi,
Sultanate of Oman.

Department of Mathematics, Presidency College (Autonomous),
Chennai-600005, Tamilnadu,


We define a q-differential fractional operator, which generalizes Salagean and Ruscheweyh differential operators. We introduce and study a new class of analytic functions involving q-differential fractional operator. We also determine the necessary and sufficient conditions for functions to be in the class. Further, we obtain the coefficient estimates, extreme points, growth and distortion bounds.

1: Paper Source PDF document

Paper's Title:

Some properties of quasinormal, paranormal and 2-k* paranormal operators


Shqipe Lohaj

Department of Mathematics,
University of Prishtina,
10000, Kosova.


In the beginning of this paper some conditions under which an operator is partial isometry are given. Further, the class of 2-k* paranormal operators is defined and some properties of this class in Hilbert space are shown. It has been proved that an unitarily operator equivalent with an operator of a 2-k* paranormal operator is a 2-k* paranormal operator, and if is a 2-k* paranormal operator, that commutes with an isometric operator, then their product also is a $2-k^*$ paranormal operator.

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