American Journal of Mathematics, Vol. 101, No. 4 (Aug., 1979), pp. 743-759 (17 pages) The elementary functions of a complex variable z are those functions built up from the rational functions of z by ...

A translation is a movement of the graph either horizontally parallel to the \(x\)-axis or vertically parallel to the \(y\)-axis. The graph of \(f(x) = x^2\) is the same as the graph of \(y = x^2\).

Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of ...

In the present study, we consider two subclasses of starlike and convex functions, denoted by S ℬ * and 𝐶ℬ respectively, associated with a bean-shaped domain. Further, we estimate certain sharp ...

The authors do not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and have disclosed no relevant affiliations beyond their ...