The Singular Points of Analytic Functions with Finite X-Order Defined by Laplace-Stieltjes Transformations
We study the singular points of analytic functions defined by Laplace-Stieltjes transformations which converge on the right half plane, by introducing the concept of X-order functions. We also confirm the existence of the finite X-order Borel points of such functions and obtained the extension of th...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/865069 |
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| Summary: | We study the singular points of analytic functions defined by Laplace-Stieltjes transformations which converge on the right half plane, by introducing the concept of X-order functions. We also confirm the existence of the finite X-order Borel points of such functions and obtained the extension of the finite X-order Borel point of two analytic functions defined by two Laplace-Stieltjes transformations convergent on the right half plane. The main results of this paper are improvement of some theorems given by Shang and Gao. |
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| ISSN: | 2314-8896 2314-8888 |