Some notes concerning the convergence control parameter in homotopy analysis method

omotopy analysis method (HAM) is a promising method for handling functional equations. Recent publications proved the effectiveness of HAM in solving wide variety of problems in different elds. HAM has a unique property whichmakes it superior to other analytic methods, this property is its ability to control the convergence region of the solution series. In this work, we claried the advantages and effects of convergence-control parameter through an example.