A note on special strong differential superordinations using multiplier transformation

作者：Lupas Alina Alb^*

来源：Journal of Computational Analysis and Applications, 2014, 17(4): 746-751.

• strong differential superordination
• convex function
• best subordinant
• extended differential operator

In the present paper we establish several strong differential superordinations regarding the extended multiplier transformation I (m, lambda, l) : A(n zeta)(*) -> A(n zeta)(*), I (m, lambda, l) f (z, zeta) = z+Sigma(infinity)(j=n+1) (1+lambda(j-1)+l/l+1)(m) a(j)(zeta) z(j), z is an element of U, zeta is an element of (U) over bar, and A(n zeta)(*) = {f is an element of H(U x (U) over bar), f(z, zeta) = z + a(n+1)(zeta) z(n+1) + ..., z is an element of U, zeta is an element of (U) over bar} is the class of normalized analytic functions.

• 出版日期2014-12