A new differential subordination technique for a subclass of starlike functions

In the present investigation, we employ a new technique to find several first and second order differential subordination implications involving the following starlike class associated with a bean shaped domain: {equation*} S^*B:=\{f:zf'(z)/f(z)√{1+{z}}=:B(z)\}. {equation*} Also, we give several applications stemming from our derived results.