3 Results Found

Higher order Schwarzian derivatives for normalized univalent functions were first considered by Schippers, and those of convex functions were considered by Dorff and Szynal. In the present investigation, higher order Schwarzian derivatives for the Ja...

In this paper, we investigate the global attractivity of a higher-order rational difference equation in the form $x_{n+1}={\displaystyle \frac{p+q{x}_n}{1+r{x}_n+s{x}_{n-k}}}$, where $p,q,r,s\ge 0$, k is a positive integer, and the initial conditions are nonnegative. This equation gener...

In this paper, we consider a subclass $\mathcal{SQ}$ of normalized analytic functions f satisfying $\Re \sqrt{f^{\prime }\left(z\right)}>1/2$. For the functions in the class $\mathcal{SQ}$, we determine upper bounds for a number of coefficient estimates, among which are initial coefficients,...