Growth of entire functions of exponential type defined by convolution |
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| Authors: | J Müller S Naik S Ponnusamy |
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| Institution: | (1) FB IV, Mathematics, University of Trier, D-54286 Trier, Germany;(2) Department of Mathematics, Indian Institute of Technology, IIT-Madras, Chennai, 600 036, India |
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| Abstract: | Based on the Borel transformation and the Hadamard multiplication theorem on singularities on the convolution of holomorphic
functions, results on the growth of entire functions defined by convolution of an entire function of exponential type with
a function holomorphic at the origin are obtained.
Received: 29 August 2005 |
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| Keywords: | 30B40 30D15 30E15 33C90 44A20 |
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