@article{oai:ous.repo.nii.ac.jp:00000674, author = {今枝, 国之助 and Imaeda, Kuninosuke and 今枝, 真理 and Imaeda, Mari}, journal = {岡山理科大学紀要. A, 自然科学, The Bulletin of the Okayama University of Science, A, Natural Science}, month = {Mar}, note = {P(論文), There has been an increasing interest among some physicists in the mathematical theory of octonions, especially in their algebraic characters which are closely related to the quark model. Octonions obey neither the commutative nor the associative laws and was thought that the theory of functions of an octonion variable may differ greatly from that of a complex variable and that of a quaternion variable. However, Dentoni and Sce have shown that the theorems and the methods in the theory of functions of a quaternion variable can be extended to that of an octonion variable. In this paper we describe the results obtained by Dentoni and Sce in a more general form, and develop the theory of regular polynomial functions of an octonion variable which are an extension of Fueter's polynomials in the quaternion theory.}, pages = {93--102}, title = {The Theory of Functions of an Octonion Variable}, volume = {19}, year = {1984}, yomi = {イマエダ, クニノスケ and イマエダ, マリ} }