A note on differential operators of infinite order

Youngjoon Cha; Haseo Ki; Young One Kim

doi:10.1016/j.jmaa.2003.10.033

A note on differential operators of infinite order

Youngjoon Cha, Haseo Ki, Young One Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	534-541
Number of pages	8
Journal	Journal of Mathematical Analysis and Applications
Volume	290
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2003.10.033
Publication status	Published - 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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10.1016/j.jmaa.2003.10.033

Cite this

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abstract = "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.",

author = "Youngjoon Cha and Haseo Ki and Kim, {Young One}",

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).",

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T1 - A note on differential operators of infinite order

AU - Cha, Youngjoon

AU - Ki, Haseo

AU - Kim, Young One

N1 - 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).

PY - 2004/2/15

Y1 - 2004/2/15

N2 - 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.

AB - 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.

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ER -

A note on differential operators of infinite order

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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