Analysis of relation between convex and starlike function

There is not much proof for close to convex functions in the literature.In this thesis, ak coefficients previously obtained for starlike functions are now examined for 0≤a<1 in f(z) for close convex functions.If we substitute a point taken inside of the circle into a function, we can find out which set it is. ∑_(k=1)^∞▒〖{|k-2u_k |+(1-a)|u_k |}〗 |A_(k+1) |≤1-a If this inequality is provided for the function on this range, then it is also provided with f(z)ϵK(a) when it is f(z)ϵS(a,t).