A generalization of Livingston's coefficient inequalities for functions with positive real part

Iason Efraimidis

For functions $p(z)=1+{\sum }_{n=1}^{\infty }{p}_n{z}^n$ holomorphic in the unit disk, satisfying $\mathrm{Re}p(z)>0$, we generalize two inequalities proved by Livingston in 1969 an…