On the Growth Order and Growth Type of Entire Functions of Several Complex Matrices-Reference-Cited by-同舟云学术

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

Published:2020-02-17 Issue: Volume:2020 Page:1-9
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Abul-Ez M.¹^ORCID,Abd-Elmageed H.²,Hidan M.³^ORCID,Abdalla M.²³^ORCID

Affiliation:

1. Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt

2. Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt

3. Mathematics Department, Faculty of Science, King Khalid University, Abha, Saudi Arabia

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.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/4027529.pdf

Reference26 articles.

1. Elementare Theorie der ganzen transcendenten Funktionen von endlicher Ordnung

2. On the lower order of integral functions

3. On the Coefficients of An Entire Series of Finite Order

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