A note on differential operators of infinite order

Youngjoon Cha, Haseo Ki, Young One Kim

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5 Citations (Scopus)


A sufficient condition for entire functions f and g to be such that the series ∑m=0 f(m) (0 × g(m)/m! represents an entire function is established; and in that case, the growth of the resulting function is described.

Original languageEnglish
Pages (from-to)534-541
Number of pages8
JournalJournal of Mathematical Analysis and Applications
Issue number2
Publication statusPublished - 2004 Feb 15

Bibliographical note

Funding Information:
* Corresponding author. E-mail addresses: yjcha@sejong.ac.kr (Y. Cha), haseo@yonsei.ac.kr (H. Ki), kimyo@math.snu.ac.kr (Y.-O. Kim). 1 The second author wishes to acknowledge the financial support of the Korea Research Foundation Grant (KRF-2000-015-DS0002).

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics


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