scholarly journals Hankel convolution on the dual of a space of entire functions

2007 ◽  
pp. 173-197
Author(s):  
Jorge J. Betancor
Keyword(s):  
Entire Functions ◽  
Hankel Convolution

Hankel Convolution Operators on Spaces of Entire Functions of Finite Order

2005 ◽  
Vol 48 (2) ◽  
pp. 161-174 ◽  
Author(s):  
Jorge J. Betancor
Keyword(s):  
Finite Order ◽  
Entire Functions ◽  
Convolution Operators ◽  
Hankel Transforms ◽  
Hankel Convolution

AbstractIn this paper we study Hankel transforms and Hankel convolution operators on spaces of entire functions of finite order and their duals.

scholarly journals Uniqueness on entire functions and their nth order exact differences with two shared values

2020 ◽  
Vol 18 (1) ◽  
pp. 211-215
Author(s):  
Shengjiang Chen ◽  
Aizhu Xu
Keyword(s):  
Entire Function ◽  
Entire Functions ◽  
Shared Values ◽  
Simple Method ◽  
Exact Difference ◽  
Hyper Order

Abstract Let f(z) be an entire function of hyper order strictly less than 1. We prove that if f(z) and its nth exact difference {\Delta }_{c}^{n}f(z) share 0 CM and 1 IM, then {\Delta }_{c}^{n}f(z)\equiv f(z) . Our result improves the related results of Zhang and Liao [Sci. China A, 2014] and Gao et al. [Anal. Math., 2019] by using a simple method.

Sign in / Sign up

Export Citation Format

Share Document