natural generalizations of the elementary functions, have been studied for centuries. The greatest mathematicians, among them Euler, Gauss, Legendre, Eisenstein, Riemann, and Ramanujan, have laid the ...

Instead of writing Function = multiply by 3 we can use algebra. Graphically, \(f(x) = x^2\) is the same as the graph of \(y = x^2\). Writing graphs as functions in the form of \(f(x)\) is useful ...

focusing primarily on the hypergeometric functions and the associated hypergeometric series. It includes both important historical results and recent developments and shows how these arise from ...

Understanding algebra is a very important skill when working with function machines. The dictionary tells us that a machine is a device that carries out a task. Some machines, like forklifts and ...