The Iterative Research Of Several Types Of Special Functions

Nonlinear science has become a hot topic of today's basic science research, thenonlinear dynamical system plays a very important role in nonlinear description of anon-linear relationship between the changes, and in this way in life, Bibi aresuch as dis-placement, concentration and price changes over time; population projections; computerprogram to generate, and even astronomy, geology, psychology and economic dec i-sion-making. these things can be abstracted for the iteration, iterative roots and Die-gobehalf of the equation of the research on these issues is very necessary and importantsignificance.These are not isolated from each other, but are very closely linked. Iteration depictsan important part of the movement of things and the development trend. Iter ation, it cannot only predict the future, but also can be traced back to the past, this is the people'sattentionultimate and long-term status. the other hand, people are also co ncerned aboutthe whole process of development of things, especially between the var ious links, whichis the inverse operation of iteration-iteration of the root (or iterative equation).throughthis method, people can connect and restore things. does not stop there, people alsowant to further in-depth understanding and knowledge of related knowledge: iterativeand iterative root promotion iterative equation. we will seean important role in iterationtheory in real life.However, due to the iterative computation of global and nonlinear characteristics,the process is very complex, making the solution to the problem is fraught with difficul-ties. This paper attempts to discuss a few special functions, arranged as follows:Iteration, iterative roots and iterative development status of the equation as well asthe main problem of this study are described in the first chapter; given in Chapter II ofiterations of several methods and iterative expression of several types of special func-tions;chapters and Chapter IV gives the iterative root and iterative equations existence;the final chapter summarizes the research results of this article, and then analyzed theexisting problems and pointed out that the direction of the future efforts.