V. RAVICHANDRAN and S. SIVAPRASAD KUMAR
On a class of analytic functions involving Carlson-Shaffer linear operator
Received: 11 June 2003
Revised: 28 September 2004
Mathematics Subject Classification (2000): 30C80 - 30C45
Abstract: In the present investigation, we obtain some sufficient conditions involving L(a+1,c)f(z)/L(a,c)f(z) and L(a+2,c)f(z)/L(a+1,c)f(z)for certain analytic function f(z) defined on the open unit disk in the complex plane to satisfy the subordination L(a+1,c)f(z)/L(a,c)f(z) < q(z), where L(a,c) is the familiar Carlson-Shaffer linear operator.