On the Growth Order and Growth Type of Entire Functions of Several Complex Matrices. (17th February 2020)

• Record Type: Journal Article
• Authors: Abul-Ez, M.; Abd-Elmageed, H.; Hidan, M.; Abdalla, M.
• Other Names: Beg Ismat Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-02-17
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/4027529
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we establish an explicit relation between the growth of the maximum modulus and the Taylor coefficients of entire functions in several complex matrix variables (FSCMVs) in hyperspherical regions. The obtained formulas enable us to compute the growth order and the growth type of some higher dimensional generalizations of the exponential, trigonometric, and some special FSCMVs which are analytic in some extended hyperspherical domains. Furthermore, a result concerning linear substitution of the mode of increase of FSCMVs is given.