On the Growth Order and Growth Type of Entire Functions of Several Complex Matrices
Joint Authors
Hidan, M.
Abul-Ez, M.
Abd-Elmageed, H.
Abdalla, M.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Abul-Ez, M.& Abd-Elmageed, H.& Hidan, M.& Abdalla, M.. 2020. On the Growth Order and Growth Type of Entire Functions of Several Complex Matrices. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1185375
Modern Language Association (MLA)
Abul-Ez, M.…[et al.]. On the Growth Order and Growth Type of Entire Functions of Several Complex Matrices. Journal of Function Spaces No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1185375
American Medical Association (AMA)
Abul-Ez, M.& Abd-Elmageed, H.& Hidan, M.& Abdalla, M.. On the Growth Order and Growth Type of Entire Functions of Several Complex Matrices. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1185375
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185375
