Rational approximation on (0, ?) of entire functions of arbitrary growth with nonnegative Taylor coefficients

1980 ◽  
Vol 31 (3) ◽  
pp. 233-239
Author(s):  
M. N. Sheremeta
Keyword(s):  
Rational Approximation ◽  
Entire Functions ◽  
Taylor Coefficients

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

2020 ◽  
Vol 2020 ◽  
pp. 1-9 ◽  
Author(s):  
M. Abul-Ez ◽  
H. Abd-Elmageed ◽  
M. Hidan ◽  
M. Abdalla
Keyword(s):  
Entire Functions ◽  
Maximum Modulus ◽  
Growth Order ◽  
Complex Matrix ◽  
Growth Type ◽  
Complex Matrices ◽  
Taylor Coefficients ◽  
Linear Substitution ◽  
Higher Dimensional ◽  
Explicit Relation

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.

Sign in / Sign up

Export Citation Format

Share Document