The notion of strong differential subordination was introduced in 1994 and the theory related to it developed 2009. dual superordination also In a paper published 2012, given new approach by defining classes analytic functions on U×U¯ having as coefficients holomorphic U¯. Using those classes, extended S?l?gean Ruscheweyh operators were operator defined L?m:An?*?An?*,L?mf(z,?)=(1??)Rmf(z,?)+?Sm...