The Journal of the Indian Mathematical Society

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A Note on the Values of an Analytic Function near an Essential Singularity


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1 Madras University, India
     

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Let {fn(z)}, n=1, 2, . . . , be a family of functions holomorphic in the interior of a domain D. The family is said to be normal in D when every sub-sequence selected from the family contains another converging uniformly in any closed region lying in D.
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  • A Note on the Values of an Analytic Function near an Essential Singularity

Abstract Views: 231  |  PDF Views: 0

Authors

V. Ganapathi Iyer
Madras University, India

Abstract


Let {fn(z)}, n=1, 2, . . . , be a family of functions holomorphic in the interior of a domain D. The family is said to be normal in D when every sub-sequence selected from the family contains another converging uniformly in any closed region lying in D.