scholarly journals On the Commutant of the Generalized Backward Shift Operator in Weighted Spaces of Entire Functions

2021 ◽  
pp. 37-48
Author(s):  
O. A. Ivanova ◽  
S. N. Melikhov
Keyword(s):  
Entire Functions ◽  
Shift Operator ◽  
Weighted Spaces ◽  
Backward Shift

scholarly journals The Spectrum of Mapping Ideals of Type Variable Exponent Function Space of Complex Variables with Some Applications

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Awad A. Bakery ◽  
Mustafa M. Mohammed
Keyword(s):  
Function Space ◽  
Variable Exponent ◽  
Entire Functions ◽  
Shift Operator ◽  
Complex Variables ◽  
Power Series Space ◽  
Series Space ◽  
Backward Shift ◽  
Type Variable ◽  
Formal Power

The topological and geometric behaviors of the variable exponent formal power series space, as well as the prequasi-ideal construction by s -numbers and this function space of complex variables, are investigated in this article. Upper bounds for s -numbers of infinite series of the weighted n th power forward and backward shift operator on this function space are being investigated, with applications to some entire functions.

scholarly journals On commutant of differentiation and translation operators in weighted spaces of entire functions

2017 ◽  
Vol 9 (3) ◽  
pp. 37-47 ◽  
Author(s):  
Olga Aleksandrovna Ivanova ◽  
Sergej Nikolaevich Melikhov ◽  
Yurii Nikolaevich Melikhov
Keyword(s):  
Entire Functions ◽  
Weighted Spaces ◽  
Translation Operators

scholarly journals Entire functions of restricted hyper-order sharing a set of two small functions IM with their linear c-shift operators

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Abhijit Banerjee ◽  
Arpita Roy
Keyword(s):  
Entire Function ◽  
Entire Functions ◽  
Shift Operator ◽  
Research Work ◽  
Original Research ◽  
Exponent Of Convergence ◽  
Content Type ◽  
Shift Operators ◽  
Small Functions ◽  
Hyper Order

PurposeThe paper aims to build the relationship between an entire function of restricted hyper-order with its linear c-shift operator.Design/methodology/approachStandard methodology for papers in difference and shift operators and value distribution theory have been used.FindingsThe relation between an entire function of restricted hyper-order with its linear c-shift operator was found under the periphery of sharing a set of two small functions IM (ignoring multiplicities) when exponent of convergence of zeros is strictly less than its order. This research work is an improvement and extension of two previous papers.Originality/valueThis is an original research work.

On interpolating varieties for weighted spaces of entire functions

2000 ◽  
Vol 10 (4) ◽  
pp. 683-696 ◽  
Author(s):  
Andreas Hartmann ◽  
Xavier Massaneda
Keyword(s):  
Entire Functions ◽  
Weighted Spaces
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