On the Growth Order and Growth Type of Entire Functions of Several Complex Matrices

Autor:	Muajebah Hidan, Mohamed Abdalla, M. Abul-Ez, H. Abd-Elmageed
Rok vydání:	2020
Předmět:	Imagination Complex matrix Article Subject Entire function media_common.quotation_subject 010102 general mathematics Substitution (logic) Type (model theory) 01 natural sciences Exponential function 010101 applied mathematics QA1-939 Applied mathematics Order (group theory) 0101 mathematics Trigonometry Mathematics Analysis media_common
Zdroj:	Journal of Function Spaces, Vol 2020 (2020)
ISSN:	2314-8888 2314-8896
DOI:	10.1155/2020/4027529
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc279bf931d6b05df97225ca9f460f4e https://doi.org/10.1155/2020/4027529 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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