EXTREME POINTS AND SUPPORT POINTS OF A CLASS OF ANALYTIC FUNCTIONS WITH MISSING COEFFICIENTS

Let M-n (a; b; c) denote a class of functions of the form f (z) = z a(n) + 1(z) (n +) (1) - ... - a k z (k) - ... which are analytic in open unit disk U - {z : vertical bar z vertical bar < 1} and satisfy the condition Sigma(infinity)(k=n+1) k(k+a)/k+b a(k) >= 0, a >= b >= 0, 0 < c <= 1 ; n epsilon N-{1,2...}.In this paper, we obtain the extreme points and support points of the class M-n ( a,b,c) of functions.