On some classes of p-valent functions involving Carlson–Shaffer operator

摘要

Let A(p),p∈N, be a class of functions f:f(z)=zp+∑k=p+n∞akzk analytic in the open unit disc E. We use Carlson–Shaffer operator for p-valent functions to define and study certain classes of analytic functions. Inclusion results, a radius problem and some other interesting properties are discussed.