Abstract
The main object of this paper is to obtain a number of sharp results involving a sufficient condition in terms of coefficients, coefficient bounds, maximization theorem concerning coefficients, distortion theorem and closure theorem for certain subclass R-n,R-p(b, B)(b not equal 0, complex, 0 < beta <= 1,p is an element of N = (1,2, ...), n > -p) of analytic and p-valent functions defined by the (n + p - 1)-th order Ruscheweyh derivative. We shall also prove that a subclass of p-valent analytic functions is closed order convolution.