Liouville's theorem and power series for quaternionic functions


Autoria(s): Marão, José Antônio Pires Ferreira; Borges Neto, Manoel Ferreira
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

27/05/2014

27/05/2014

05/09/2011

Resumo

In recent years quaternionic functions have been an intense and prosperous object of research, and important results were determined [1]-[6]. Some of these results are similar to well known cases in one complex variable, op. cit. [5], [6]. In this paper the hypercomplex expansion of a function in a power series as well as determination of a Liouville's type theorem have been investigated to the quaternionic functions. In this case, it is observed that the Liouville's type theorem is true for second order derivatives, which differs from its classical version. © 2011 Academic Publications, Ltd.

Formato

383-389

Identificador

http://www.ijpam.eu/contents/2011-71-3/7/7.pdf

International Journal of Pure and Applied Mathematics, v. 71, n. 3, p. 383-389, 2011.

1311-8080

http://hdl.handle.net/11449/72659

2-s2.0-80052224128

2-s2.0-80052224128.pdf

Idioma(s)

eng

Relação

International Journal of Pure and Applied Mathematics

Direitos

openAccess

Palavras-Chave #Hypercomplex #Quaternions #Quaternions series
Tipo

info:eu-repo/semantics/article