A Pólya shire theorem for functions with algebraic singularities
The classical shire theorem of Pólya is proved for functions with algebraic poles, in the sense of L. V. Ahlfors. A function f(z) is said to have an algebraic pole at z0 provided there is a representation f(z)=∑k=−N∞ak(z−z0)k/p+A(z), where p and N are positive integers and A(z) is analytic at z0. Fo...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171282000635 |
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