On a conjecture of S.P. Robinson

In his thesis, S.P. Robinson made a conjecture concerning the polynomials

     

On some applications of a subordination theorem

The main object of the present paper is to show some interesting relations for certain class of analytic functions by using subordination theorem.     

On certain analytic functions associated with Ruscheweyh derivatives and bounded Mocanu variation

Using Ruscheweyh derivative and convolution operator, we introduce a new subclass of analytic functions defined in the unit disc. Some inclusion results, a radius problem and some other interesting properties of this class are investigated.