A note on special fuzzy differential subordinations using generalized Salagean operator and Ruscheweyh derivative

作者：Lupas Alina Alb^*

来源：Journal of Computational Analysis and Applications, 2013, 15(8): 1476-1483.

• fuzzy differential subordination
• convex function
• fuzzy best dominant
• differential operator
• generalized Salagean operator
• Ruscheweyh derivative

In the present paper we establish several fuzzy differential subordinations regardind the operator RD lambda 1 alpha m, given by RD lambda,alpha m : A(n) -> A(n), RD(lambda,alpha)(m)f(z) = (1-alpha)R(m)f(z)+alpha D(lambda)(m)f(z), where R(m)f(z) denote the Ruscheweyh derivative, D(lambda)(m)f(z) is the generalized Salagean operator and A(n) = { f is an element of (sic)(U), f(z) = z+a(n+1)z(n+1)+..., z is an element of U} is the class of normalized analvtic functions with A(1) = A. Acertain fuzzy class, denoted by RDmF (delta,lambda,alpha), of analytic functions in the open unit disc is introduced by means of this operator. By making use of the concept of fuzzy differential subordination we will derive vaious properties and characteristics of the class RDmF (delta,lambda,alpha). Also, several fuzzy differential subordinations are established regarding the operator RD lambda,a.m

• 出版日期2013-12