Primitive transcendental functions and symbolic computation. (July 2018)

• Record Type: Journal Article
• Authors: Navarro Guevara, Douglas
• Is Part Of: Journal of symbolic computation. Volume 87(2018)
• Page Start: 28
• Page End: 53
• Publication Date: 2018-07
• Subjects: Function criteria representation -- Primitive transcendental functions -- Symbolic computation -- Computer algebra system; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2017.05.006
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: This paper presents the theoretical support for a novel and efficient approach to represent and deal symbolically with an important ensemble of complex functions. These functions are characterized by a Maclaurin series expansion whose general term may be factoring as: b j T j + k x j j ! where b j is periodic, k ∈ Z and { T m } is a complex sequence that characterizes a family of functions. The functions are structured in families of Euclidean vector spaces that facilitate a discrete vector representation. The used representations provide important facilitates for the symbolic computation of divers operators/operations that are executed by the computation of their " dual counterparts " into the representation space.