Differential subordinations using the Ruscheweyh derivative and the generalized Salagean operator

作者：Andrei Loriana^*

来源：Advances in Difference Equations, 2013, 2013(1): 252.

DOI：10.1186/1687-1847-2013-252

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

In the present paper, we study the operator, using the Ruscheweyh derivative R(m)f(z) and the generalized Salagean operator D(lambda)(m)f(z), denote 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), z epsilon U, where An = {f epsilon H(U) : f(z) = z + a(n+1)z(n+1) + ... , z epsilon U} is the class of normalized analytic functions. We obtain several differential subordinations regarding the operator RD lambda,alpha m

• 出版日期2013-8-20