2012/11/14 by Vladimir Kruchinin, Kruchinin, Vladimir
Computer Science · Engineering · Mathematics · #Iterative Methods for Nonlinear Equations #Metaheuristic Optimization Algorithms Research #Process Optimization and Integration #math.CO #msc:05A15
paper · pdf · doi:10.48550/arxiv.1211.3244
arxiv created 2012/11/14 · arxiv updated 2012/11/15
The powers of generating functions and its properties are analyzed. A new class of functions is introduced, based on the application of compositions of an integer n, called composita. The methods for obtaining reciprocal and reverse generating functions, and solutions of the functional equations F(A(x))=G(x), where A(x) is an unknown generating function, are proposed. Key words: generating functions, reverse, reciprocal, composita, method.