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Journals and Conferences
We improve a result in Silverman’s paper (1999) and answer a question he posed. We also consider a similar problem and obtain sufficient conditions for starlikeness. 2000 Mathematics Subject Classification. 30C45.
We consider the class of univalent functions f(z)= z+a3z3+a4z4+··· analytic in the unit disc and satisfying |(z2f ′(z)/f 2(z))−1|< 1, and show that such functions are starlike if they satisfy |(z2f ′(z)/f 2(z))−1|< (1/√2).
BACKGROUND All will agree that invention of electricity has changed the world. Today nobody can think of living without an uninterrupted supply. Electricity is definitely a boon to the mankind but this turns into a curse when it becomes a cause of disaster. Electrical burn injuries are the most destructive injuries with a potential of causing significant… (More)