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A generalization of a theorem of Marcinkiewicz*

 

作者: Franz Brüggemann,   Gerhard Jank,   Lutz Volkmann,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1992）
卷期: Volume 18, issue 1-2  

页码: 79-84

 

ISSN:0278-1077

 

年代: 1992

 

DOI:10.1080/17476939208814531

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30D35;42A38;60E10

 

数据来源: Taylor

 

摘要:

we prove the following theorem for characteristic functions, which is an extension of theorems of Marcinkiew and Luckas: let P be a polynomial of degree m and let exp i(z) denote the l-times iteratd exponential function. Assume futher g(z) is an entire function with the property(here M(r,g) denotes the usual maximum modulus of the entire function g). Ifis characteristic function, thenm≤2 holds.

 

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