In this paper, first order differential subordination implication results are
derived for SΟ±ββ, a subclass of starlike functions,
defined as
SΟ±ββ={fβA:f(z)zfβ²(z)ββΊΟ±(z):=coshzβ,zβD}, where we choose the
branch of the square root function so that
coshzβ=1+z/2!+z2/4!+β―. Further we deduce Briot-Bouquet
differential subordination results along with some examples.Comment: arXiv admin note: substantial text overlap with arXiv:2201.0581