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A note on differential operators of infinite order |
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| Authors: | Youngjoon Cha Haseo Ki Young-One Kim |
| Institution: | a Department of Applied Mathematics, Sejong University, Seoul 143-747, South Korea;b Department of Mathematics, Yonsei University, Seoul 120-749, South Korea;c Department of Mathematical Sciences, Seoul National University, Seoul 151-742, South Korea |
| 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. |
| Keywords: | Differential operators of infinite order Entire functions Growth Order Type |
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