Univalent polynomials and fractional order differences of their coefficients
Let \(f(z)=z+\sum_{k=2}^{\infty}a_kz^k\) be analytic in the unit disk \(\mathbb D\). The author finds sufficient conditions on \(\{a_k\}\), \(k\geq2\), such that \(f\) is close-to-convex in \(\mathbb D\). Two theorems refer to polynomials \(f\) while four other theorems of the article treat infinite series. The proofs are based on straightforward estimates of corresponding sums.
scientific article; zbMATH DE number 5549422
scientific article