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An Inequality of Meromorphic Vector Functions and Its Application

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Firstly, an inequality for vector‐valued meromorphic functions is established which extend a corresponding inequality of Milloux for meromorphic scalar‐valued function (1946). As an application, the relationship between the characteristic function of a vector‐valued meromorphic function f and its derivative f′ is studied, results are obtained to extend some related results for meromorphic scalar‐valued function of Weitsman (1969) and Singh and Gopalakrishna (1971).
Title: An Inequality of Meromorphic Vector Functions and Its Application
Description:
Firstly, an inequality for vector‐valued meromorphic functions is established which extend a corresponding inequality of Milloux for meromorphic scalar‐valued function (1946).
As an application, the relationship between the characteristic function of a vector‐valued meromorphic function f and its derivative f′ is studied, results are obtained to extend some related results for meromorphic scalar‐valued function of Weitsman (1969) and Singh and Gopalakrishna (1971).

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